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Chapter 2: Q. 27 (page 125)

Is the graph shown the graph of a function?

Short Answer

Expert verified

The given graph is not the graph of a function.

Step by step solution

01

Step 1. Concept Used

The vertical line test states that a set of points in the plane is the graph of a function if and only if every vertical line intersects the graph in at most one point.

02

Step 2. Identify whether the graph is a function or not

Draw a vertical line to the graph of the function.

So it can be seen that a vertical line intersects the graph at more than one point. So the graph is not the graph of a function.

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Most popular questions from this chapter

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

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

The domain of fgconsists of numbers xfor which g(x)____ 0that are in the domains of both ____ and ____.

The slope of the line containing the points (-2, 3) and (3, 8) is ________.

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
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