Math Example--Function Concepts--Function Rules and Equations--Example 4

Topic

Arithmetic

Description

EΘample 4: Write a function equation of the form f(Θ) based on the Function Machine that multiplies the input by -3 and then adds 2. The input is 4, and the output is -10.

Substitute the numerical input with x. Since the machine multiplies the input by -3 and adds 2, the function equation is f(x) = -3x + 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.