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Chapter 2: Q. 15 (page 68)

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 {Elvis,Colleen,Kaleigh,Marissa}and range is{Jan.8,Mar.15,Sept.17}.

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{Elvis,Colleen,Kaleigh,Marissa}

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 {Jan.8,Mar.15,Sept.17}

It is okay for more than one element in the domain to correspond to the same element in the range.

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Most popular questions from this chapter

A rectangle has one corner in quadrant I on the graph of y=16-x2, another at the origin, a third on the positive y-axis and the fourth on the positive x-axis. See the figure.

Part (a): Express the area Aof the rectangle as a function of x.

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Part (d): Graph p=px. For what value ofxis p largest?

True or False Every relation is a function.

If f(x)=2x-4if-1鈮�x鈮�2x3-2if2<x鈮�3

Find: (a) f(0) (b) f(1) (c) f(2) (d)f(3)

True or False

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