Math Example--Function Concepts--Function Rules and Equations--Example 8
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Algebra >> Functions and Relations >> Relations and Functions

Math Example--Function Concepts--Function Rules and Equations--Example 8

Math Example--Function Concepts--Function Rules and Equations--Example 8

Image for Math Example--Function Concepts--Function Rules and Equations--Example 8

Topic

Arithmetic

Description

Example 8: Write a function equation of the form f(x) based on the Function Machine that adds 4 to the input and then squares the sum. The input is 3, and the output is 49.

Substitute x for the input. The machine adds 4 to x and then squares the result, giving the function equation f(x) = (x + 4)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.

Common Core Standards CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.8, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.A.1.A
Grade Range 8 - 10
Curriculum Nodes Algebra
    • Functions and Relations
        • Relations and Functions
Copyright Year 2020
Keywords functions