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Chapter 2: Q. 17 (page 89)

In Problems 11–20, use the graph of the function f given.


Is there a local maximum value at 2? If yes, what is it?

Short Answer

Expert verified

Yes , local maximum at 2. Maximum value is 10.

Step by step solution

01

Given information 

use the graph of the function f given.

02

Maximum value 

The graph goes on increasing before x=2 and then it is decreasing. So, there is local maximum at x=2.

The maximum value at x=2 is 10

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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

Suppose that the graph of a function f is known. Then the graph of y=f(x-2)may be obtained by a(n) ________ shift of the graph of f to the ________ a distance of2 units.

True or False

To obtain the graph of f(x)=x+2, shift the graph ofy=x horizontally to the right 2units.

True or False Every relation is a 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
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