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Chapter 2: Q. 53 (page 69)

In Problems 47– 62, find the domain of each function.

F(x)=x-2x3+x

Short Answer

Expert verified

The domain of the given function is{x|x≠0}

Step by step solution

01

Step 1. Given Information

In the given problems we have to find the domain of given function.

F(x)=x-2x3+x

02

Step 2. The function F tells us to divide x-2 by x3+x. 

Since division by 0is not defined, the denominator x3+xcan never be 0, so xcan never equal 0. The domain of the function F is{x|x≠0}

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Most popular questions from this chapter

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)=x2+4

A rectangle is inscribed in a semicircle of radius 2. See the figure. Let P=x,ybe the point in quadrant I that is vertex of the rectangle and is on the circle.

Part (a): Express the area A of the rectangle as a function of x.

Part (b): Express the perimeter pof the rectangle as a function of x.

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

Part (d): Graph p=px. For what value of xis plargest?

True or False The independent variable is sometimes

referred to as the argument of the function.

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-1,0,2,3,4,0

In Problems 7–18, match each graph to one of the following functions:

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