Math Example--Function Concepts--Function Rules and Equations--Example 9

Topic

Arithmetic

Description

Example 9: Write a function equation of the form f(x) based on the Function Machine that subtracts 5 from the input and then squares the sum. The input is 10, and the output is 25.

Replace the input with x. Since the machine subtracts 5 from x and squares the result, the function equation is f(x) = (x - 5)².

When students are exposed to various worked-out examples, they develop a deeper understanding of mathematical concepts by seeing patterns, variations, and applications of the rules in different contexts. Each example provides a fresh perspective and reinforces the core concept.

Teacher’s Script: Let's analyze this example together. Notice how the input changes, and observe the mathematical operation applied by the function rule. Can you predict the output for a new input based on this pattern?

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