Math Example--Function Concepts--Function Rules and Equations--Example 10

Topic

Arithmetic

Description

Example 10: Write a function equation of the form f(x) based on the Function Machine that subtracts -1 (or adds 1) from the input and squares the sum. The input is 8, and the output is 81.

Substitute x for the input. The machine subtracts -1 from x (equivalent to adding 1) and squares the result, so the function equation is f(x) = (x + 1)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.