Math Example--Linear Function Concepts--Linear Function Machines--Example 15

Topic

Linear Functions

Description

Find 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.

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.