Math Example--Function Concepts--Function Rules and Equations--Example 7

Topic

Arithmetic

Description

Example 7: Write a function equation of the form f(x) based on the Function Machine that multiplies the input by itself and then multiplies the result by 2. The input is 6, and the output is 72.

Replace the input with x. The machine squares the input and then multiplies it by 2, so the function equation is f(x) = 2x².

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.