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Chapter 2: Q. 11 (page 89)

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


Is f increasing on the interval (-8, -2)?

Short Answer

Expert verified

Yes, the function is increasing on the interval (-8,-2)

Step by step solution

01

Given Information 

use the graph of the function f given.

02

Increasing or decreasing 

From the given interval x=-8 to -2 , the graph of the function is going up .

So , f is increasing on the interval (-8, -2)

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Most popular questions from this chapter

In Problems 19-26,write the function whose graph is the graph of y=x3but is:

Shifted to the left 4units

A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure.

(a) Express the area A of the rectangle as a function of the radius r of the semicircle.

(b) Express the perimeter p of the rectangle as a function of r.

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

An equilateral triangle is inscribed in a circle

of radius r. See the figure. Express the circumference Cof the circle as a function of the length x of a side of the triangle.

[Hint: First show that r2=x23.]

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)=12x
See all solutions

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