Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
---|---|---|---|
Math Example--Linear Function Concepts--Linear Function Machines--Example 13 | Math Example--Linear Function Concepts--Linear Function Machines--Example 13TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -2 * x + 1. This involves a table created for x and f(x) values. Substituting each x into f(x) = -2 * x + 1, the outputs are: -2 gives 5, -1 gives 3, 0 gives 1, 1 gives -1, and 2 gives -3. The common difference is -2, indicating a linear function. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 13 | Math Example--Linear Function Concepts--Linear Function Machines--Example 13TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -2 * x + 1. This involves a table created for x and f(x) values. Substituting each x into f(x) = -2 * x + 1, the outputs are: -2 gives 5, -1 gives 3, 0 gives 1, 1 gives -1, and 2 gives -3. The common difference is -2, indicating a linear function. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 13 | Math Example--Linear Function Concepts--Linear Function Machines--Example 13TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -2 * x + 1. This involves a table created for x and f(x) values. Substituting each x into f(x) = -2 * x + 1, the outputs are: -2 gives 5, -1 gives 3, 0 gives 1, 1 gives -1, and 2 gives -3. The common difference is -2, indicating a linear function. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 14 | Math Example--Linear Function Concepts--Linear Function Machines--Example 14TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -3 * x + 1. This involves a table created for x and f(x) values. Each x substituted into f(x) = -3 * x + 1 yields: -2 gives 7, -1 gives 4, 0 gives 1, 1 gives -2, and 2 gives -5. The common difference is -3, confirming linearity. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 14 | Math Example--Linear Function Concepts--Linear Function Machines--Example 14TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -3 * x + 1. This involves a table created for x and f(x) values. Each x substituted into f(x) = -3 * x + 1 yields: -2 gives 7, -1 gives 4, 0 gives 1, 1 gives -2, and 2 gives -5. The common difference is -3, confirming linearity. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 14 | Math Example--Linear Function Concepts--Linear Function Machines--Example 14TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -3 * x + 1. This involves a table created for x and f(x) values. Each x substituted into f(x) = -3 * x + 1 yields: -2 gives 7, -1 gives 4, 0 gives 1, 1 gives -2, and 2 gives -5. The common difference is -3, confirming linearity. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 15 | Math Example--Linear Function Concepts--Linear Function Machines--Example 15TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -4 * x + 1. This involves a table is created for x and f(x) values. Calculating for each x: -2 gives 9, -1 gives 5, 0 gives 1, 1 gives -3, and 2 gives -7. The common difference is -4, indicating linearity. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 15 | Math Example--Linear Function Concepts--Linear Function Machines--Example 15TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -4 * x + 1. This involves a table is created for x and f(x) values. Calculating for each x: -2 gives 9, -1 gives 5, 0 gives 1, 1 gives -3, and 2 gives -7. The common difference is -4, indicating linearity. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 15 | Math Example--Linear Function Concepts--Linear Function Machines--Example 15TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -4 * x + 1. This involves a table is created for x and f(x) values. Calculating for each x: -2 gives 9, -1 gives 5, 0 gives 1, 1 gives -3, and 2 gives -7. The common difference is -4, indicating linearity. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 16 | Math Example--Linear Function Concepts--Linear Function Machines--Example 16TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -5 * x + 1. This involves a table created for x and f(x) values. Substituting into f(x) = -5 * x + 1, the outputs are: -2 gives 11, -1 gives 6, 0 gives 1, 1 gives -4, and 2 gives -9. The common difference is -5, confirming linearity. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 16 | Math Example--Linear Function Concepts--Linear Function Machines--Example 16TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -5 * x + 1. This involves a table created for x and f(x) values. Substituting into f(x) = -5 * x + 1, the outputs are: -2 gives 11, -1 gives 6, 0 gives 1, 1 gives -4, and 2 gives -9. The common difference is -5, confirming linearity. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 16 | Math Example--Linear Function Concepts--Linear Function Machines--Example 16TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the equation f(x) = -5 * x + 1. This involves a table created for x and f(x) values. Substituting into f(x) = -5 * x + 1, the outputs are: -2 gives 11, -1 gives 6, 0 gives 1, 1 gives -4, and 2 gives -9. The common difference is -5, confirming linearity. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 17 | Math Example--Linear Function Concepts--Linear Function Machines--Example 17TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = 2. This involves a table created for x and f(x) values, where f(x) = 2 for all x values, resulting in outputs of 2, 2, 2, 2, and 2. The common difference is 0, indicating a constant function: y = 2. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 17 | Math Example--Linear Function Concepts--Linear Function Machines--Example 17TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = 2. This involves a table created for x and f(x) values, where f(x) = 2 for all x values, resulting in outputs of 2, 2, 2, 2, and 2. The common difference is 0, indicating a constant function: y = 2. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 17 | Math Example--Linear Function Concepts--Linear Function Machines--Example 17TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = 2. This involves a table created for x and f(x) values, where f(x) = 2 for all x values, resulting in outputs of 2, 2, 2, 2, and 2. The common difference is 0, indicating a constant function: y = 2. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 18 | Math Example--Linear Function Concepts--Linear Function Machines--Example 18TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = 0. This involves a table created for x and f(x) values, where f(x) = 0 for all x values, giving outputs of 0, 0, 0, 0, and 0. The common difference is 0, indicating a constant function: y = 0. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 18 | Math Example--Linear Function Concepts--Linear Function Machines--Example 18TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = 0. This involves a table created for x and f(x) values, where f(x) = 0 for all x values, giving outputs of 0, 0, 0, 0, and 0. The common difference is 0, indicating a constant function: y = 0. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 18 | Math Example--Linear Function Concepts--Linear Function Machines--Example 18TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = 0. This involves a table created for x and f(x) values, where f(x) = 0 for all x values, giving outputs of 0, 0, 0, 0, and 0. The common difference is 0, indicating a constant function: y = 0. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 19 | Math Example--Linear Function Concepts--Linear Function Machines--Example 19TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = -1. This involves a table created for x and f(x) values, where f(x) = -1 for all x values, resulting in outputs of -1, -1, -1, -1, and -1. The common difference is 0, indicating a constant function: y = -1. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 19 | Math Example--Linear Function Concepts--Linear Function Machines--Example 19TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = -1. This involves a table created for x and f(x) values, where f(x) = -1 for all x values, resulting in outputs of -1, -1, -1, -1, and -1. The common difference is 0, indicating a constant function: y = -1. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 19 | Math Example--Linear Function Concepts--Linear Function Machines--Example 19TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using the function machine represented by the constant function f(x) = -1. This involves a table created for x and f(x) values, where f(x) = -1 for all x values, resulting in outputs of -1, -1, -1, -1, and -1. The common difference is 0, indicating a constant function: y = -1. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 2 | Math Example--Linear Function Concepts--Linear Function Machines--Example 2TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 3x. This involves creating a table of values for x and f(x) using f(x) = 3x. The output for each x is calculated by multiplying x by 3. the results are f(x) = -6, -3, 0, 3, and 6 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 2 | Math Example--Linear Function Concepts--Linear Function Machines--Example 2TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 3x. This involves creating a table of values for x and f(x) using f(x) = 3x. The output for each x is calculated by multiplying x by 3. the results are f(x) = -6, -3, 0, 3, and 6 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 2 | Math Example--Linear Function Concepts--Linear Function Machines--Example 2TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 3x. This involves creating a table of values for x and f(x) using f(x) = 3x. The output for each x is calculated by multiplying x by 3. the results are f(x) = -6, -3, 0, 3, and 6 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 3 | Math Example--Linear Function Concepts--Linear Function Machines--Example 3TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 4x. This involves creating a table of values for x and f(x) using f(x) = 4x. The output for each x is calculated by multiplying x by 4. The results are f(x) = -8, -4, 0, 4, and 8 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 3 | Math Example--Linear Function Concepts--Linear Function Machines--Example 3TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 4x. This involves creating a table of values for x and f(x) using f(x) = 4x. The output for each x is calculated by multiplying x by 4. The results are f(x) = -8, -4, 0, 4, and 8 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 3 | Math Example--Linear Function Concepts--Linear Function Machines--Example 3TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 4x. This involves creating a table of values for x and f(x) using f(x) = 4x. The output for each x is calculated by multiplying x by 4. The results are f(x) = -8, -4, 0, 4, and 8 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 4 | Math Example--Linear Function Concepts--Linear Function Machines--Example 4TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 5x. This involves creating a table of values for x and f(x) using f(x) = 5x. The output for each x is calculated by multiplying x by 5. The results are f(x) = -10, -5, 0, 5, and 10 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 4 | Math Example--Linear Function Concepts--Linear Function Machines--Example 4TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 5x. This involves creating a table of values for x and f(x) using f(x) = 5x. The output for each x is calculated by multiplying x by 5. The results are f(x) = -10, -5, 0, 5, and 10 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 4 | Math Example--Linear Function Concepts--Linear Function Machines--Example 4TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 5x. This involves creating a table of values for x and f(x) using f(x) = 5x. The output for each x is calculated by multiplying x by 5. The results are f(x) = -10, -5, 0, 5, and 10 for x = -2, -1, 0, 1, and 2, respectively. Linear Functions are a key concept in mathematics that involves understanding the relationship between input and output values based on a given rule. Examples like this one help students visualize and analyze patterns, making it easier to comprehend linear relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 5 | Math Example--Linear Function Concepts--Linear Function Machines--Example 5TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -2x. This involves creating a table of values for x and f(x) using f(x) = -2x. The output for each x is calculated by multiplying x by -2. The results are f(x) = 4, 2, 0, -2, and -4 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 5 | Math Example--Linear Function Concepts--Linear Function Machines--Example 5TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -2x. This involves creating a table of values for x and f(x) using f(x) = -2x. The output for each x is calculated by multiplying x by -2. The results are f(x) = 4, 2, 0, -2, and -4 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 5 | Math Example--Linear Function Concepts--Linear Function Machines--Example 5TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -2x. This involves creating a table of values for x and f(x) using f(x) = -2x. The output for each x is calculated by multiplying x by -2. The results are f(x) = 4, 2, 0, -2, and -4 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 6 | Math Example--Linear Function Concepts--Linear Function Machines--Example 6TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -3x. This involves creating a table of values for x and f(x) using f(x) = -3x. The output for each x is calculated by multiplying x by -3. The results are f(x) = 6, 3, 0, -3, and -6 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 6 | Math Example--Linear Function Concepts--Linear Function Machines--Example 6TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -3x. This involves creating a table of values for x and f(x) using f(x) = -3x. The output for each x is calculated by multiplying x by -3. The results are f(x) = 6, 3, 0, -3, and -6 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 6 | Math Example--Linear Function Concepts--Linear Function Machines--Example 6TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -3x. This involves creating a table of values for x and f(x) using f(x) = -3x. The output for each x is calculated by multiplying x by -3. The results are f(x) = 6, 3, 0, -3, and -6 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 7 | Math Example--Linear Function Concepts--Linear Function Machines--Example 7TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -4x. This involves creating a table of values for x and f(x) using f(x) = -4x. The output for each x is calculated by multiplying x by -4. The results are f(x) = 8, 4, 0, -4, and -8 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 7 | Math Example--Linear Function Concepts--Linear Function Machines--Example 7TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -4x. This involves creating a table of values for x and f(x) using f(x) = -4x. The output for each x is calculated by multiplying x by -4. The results are f(x) = 8, 4, 0, -4, and -8 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 7 | Math Example--Linear Function Concepts--Linear Function Machines--Example 7TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -4x. This involves creating a table of values for x and f(x) using f(x) = -4x. The output for each x is calculated by multiplying x by -4. The results are f(x) = 8, 4, 0, -4, and -8 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 8 | Math Example--Linear Function Concepts--Linear Function Machines--Example 8TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -5x. This involves creating a table of values for x and f(x) using f(x) = -5x. The output for each x is calculated by multiplying x by -5. The results are f(x) = 10, 5, 0, -5, and -10 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 8 | Math Example--Linear Function Concepts--Linear Function Machines--Example 8TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -5x. This involves creating a table of values for x and f(x) using f(x) = -5x. The output for each x is calculated by multiplying x by -5. The results are f(x) = 10, 5, 0, -5, and -10 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 8 | Math Example--Linear Function Concepts--Linear Function Machines--Example 8TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = -5x. This involves creating a table of values for x and f(x) using f(x) = -5x. The output for each x is calculated by multiplying x by -5. The results are f(x) = 10, 5, 0, -5, and -10 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 9 | Math Example--Linear Function Concepts--Linear Function Machines--Example 9TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 2x + 1. This involves creating a table of values for x and f(x) using f(x) = 2x + 1. The output for each x is calculated by doubling x and then adding 1. The results are f(x) = -3, -1, 1, 3, and 5 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 9 | Math Example--Linear Function Concepts--Linear Function Machines--Example 9TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 2x + 1. This involves creating a table of values for x and f(x) using f(x) = 2x + 1. The output for each x is calculated by doubling x and then adding 1. The results are f(x) = -3, -1, 1, 3, and 5 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Function Machines--Example 9 | Math Example--Linear Function Concepts--Linear Function Machines--Example 9TopicLinear Functions DescriptionFind the output values for the input values -2, -1, 0, 1, 2 using a function machine with the rule f(x) = 2x + 1. This involves creating a table of values for x and f(x) using f(x) = 2x + 1. The output for each x is calculated by doubling x and then adding 1. The results are f(x) = -3, -1, 1, 3, and 5 for x = -2, -1, 0, 1, and 2, respectively. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 | Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1TopicLinear Functions DescriptionThis example demonstrates how to create a table of x-y coordinates and graph the linear function y = 2x + 4. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 4), (1, 6), (2, 8), (3, 10), and (4, 12), illustrating how the y-value increases by 2 for each unit increase in x. |
Graphs of Linear Functions | |
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 | Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1TopicLinear Functions DescriptionThis example demonstrates how to create a table of x-y coordinates and graph the linear function y = 2x + 4. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 4), (1, 6), (2, 8), (3, 10), and (4, 12), illustrating how the y-value increases by 2 for each unit increase in x. |
Graphs of Linear Functions | |
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 | Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10TopicLinear Functions DescriptionThis example demonstrates how to create a table of x-y coordinates and graph the linear function y = -x + 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 6), (1, 5), (2, 4), (3, 3), and (4, 2), illustrating how the y-value decreases by 1 for each unit increase in x. |
Graphs of Linear Functions | |
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 | Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10TopicLinear Functions DescriptionThis example demonstrates how to create a table of x-y coordinates and graph the linear function y = -x + 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 6), (1, 5), (2, 4), (3, 3), and (4, 2), illustrating how the y-value decreases by 1 for each unit increase in x. |
Graphs of Linear Functions | |
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11 | Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11TopicLinear Functions DescriptionThis example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = -x - 8. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -8), (1, -9), (2, -10), (3, -11), and (4, -12), showing how the y-value decreases by 1 for each unit increase in x. |
Graphs of Linear Functions |