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Chapter 2: Q. 17 (page 69)

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

Short Answer

Expert verified

This function does not have domain and range.

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. In the given function 20 hours corresponds to $200 and $300 also.

The relation in given Figure is not a function because each element in the domain does not correspond to exactly one element in the range.

So this function does not have domain and range.

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

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Most popular questions from this chapter

In Problems 7–18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

A right triangle has one vertex on the graph of y=9-x2,x>0, at x,y, another at the origin, and the third on the positive x-axis at x,0. Express the area Aof the triangle as a function of x.

A right triangle has one vertex on the graph of y=x3,x>0,at x,y, another at the origin, and the third on the positive y-axis at 0,y, as shown in the figure. Express the area Aof the triangle as a function of x.

The interval (2, 5) can be written as the inequality ___________

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.

g(x)=x3+1
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