Finding Function Values for Elements of the Domain

Evaluating Linear Functions for Given Domain Values

Evaluating Linear Functions for Given Domain Values InteractivityConsider f(x) = −7x + 9. How can you determine the value of the function when x = −4? In this interactivity, you will learn how to find the answer both algebraically and graphically. Click the player button to begin.

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Evaluating Quadratic Functions for Given Domain Values

Evaluating Quadratic Functions for Given Domain Values InteractivityYou can apply both algebraic and graphic techniques to evaluate a quadratic function for given input values. As you work through the examples in this interactivity, you will explore both algebraic and graphic strategies. Your knowledge of factoring, the order of operations, and the graphing calculator will be beneficial to you. Click the player button to begin.

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Practical Problem

Evaluating functions for given domain values can help you solve practical problems. Consider the problem given below.

Problem: The total cost T of membership at a local recreation center can be represented by the function T(m) = 10m + 25, where m represents the number of months of membership. Find T(6) and explain its meaning.

Response:

T(6)   =10(6) + 25
  = 60 + 25
T(6)   = 85
T(6)   = 85

The total cost for 6 months of membership is $85.

 

Finding Function Values for Elements of the Domain Review

Self-check iconFinding Function Values for Elements of the Domain ReviewNow that you have identified how to find the function values for elements of the domain, it is time to test your knowledge. This interactivity will help you review the information covered throughout this topic. Click the player button to get started.

 

 

Digital Repository IconDid you answer the content review questions incorrectly? Do you want more instruction or extra practice? If so, view the videos Finding Values for Elements in the Domain of Linear Functions and Finding Values for Elements in the Domain of Quadratic Functions from eMediaVASM.