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Chapter 2: Q. 4 (page 100)

The function f(x)=x2 is decreasing on the interval _____.

Short Answer

Expert verified

The function f(x)=x2is decreasing on the interval(-鈭�,0).

Step by step solution

01

Step 1. Given information

We have been given a statement as: The function f(x)=x2is decreasing on the interval _________.

We have to fill in the blank.

02

Step 2. Analyze the graph of the given function

The graph of the function f(x)=x2is:

Therefore, the function is decreasing on the interval (-鈭�,0).

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Most popular questions from this chapter

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

In Problems 7鈥�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

In Problems 7鈥�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

True or False Every relation is a function.

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.

Part (b): What is the domain of A?

Part (c): Graph A=Ax. For what value of xis Alargest?
See all solutions

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