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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(-∞,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 (-∞,0).

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Most popular questions from this chapter

The intercepts of the equationy=x2-9are

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

If (1,3)is a point on the graph of y=f(x), which of the following points must be on the graph ofy=2f(x)?

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.

f(x)=x-13+2

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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