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Chapter 2: Q. 18 (page 69)

Determine whether each relation represents a function. For each function, state the domain and range.

Short Answer

Expert verified

The domain of the function is{Lessthan9thgrade,9th-12thgrade,HighSchoolGraduate,SomeCollege,CollegeGraduate}and range is{$18,120,$23,251,$36,055,$45,810,$67,165}.

Step by step solution

01

Step 1. Given Information

In the given question we have to determine whether each relation represents a function and for each function, we have to state the domain and range.

02

Step 2. The relation in Figure is a function because each element in the domain corresponds to exactly one element in the range.

The domain of the function is {Lessthan9thgrade,9th-12thgrade,HighSchoolGraduate,SomeCollege,CollegeGraduate}.

03

Step 3. The set of all images of the elements in the domain is called the range of the function.

The range of the function is {$18,120,$23,251,$36,055,

$45,810,$67,165}

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Most popular questions from this chapter

Exploration Graph y=x3,y=x5, and y=x7 on the same screen. What do you notice is the same about each graph? What do you notice that is different?

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

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(c) What are thex-intercepts of the graph of y=4f(x)?

(d) What are thex-intercepts of the graph of y=f(-x)?

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