Math Example--Linear Function Concepts--Linear Function Machines--Example 8

Topic

Linear Functions

Description

Find 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.

Seeing multiple worked-out examples is crucial for students to grasp complex concepts. It allows them to identify patterns, understand problem-solving strategies, and build confidence in their ability to solve similar problems.

Teacher Script: Let's look at this example together. Notice how the input values of the function are transformed into output values based on the rule. By analyzing this example, we can understand how linear functions work and apply these concepts to other problems.

For a complete collection of math examples related to Linear Functions click on this link: Math Examples: Linear Function Machines Collection.