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Chapter 4: Q. 10 (page 224)

True or False The graph of a rational function may intersect a vertical asymptote.

Short Answer

Expert verified

The given statement " The graph of a rational function may intersect a vertical asymptote." is false.

Step by step solution

01

Step 1. Given Information

The given statement is " The graph of a rational function may intersect a vertical asymptote."

02

Step 2. True or False

We know that the graph can't intersect vertical asymptotes because if so then the value of the graph will be undefined at that point of intersection.

Thus, the given statement is false.

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Most popular questions from this chapter

Solve each inequality algebraically.

x-3x+1>0

United Parcel Service has contracted you to design a closed box with a square base that has a volume of 10,000cubic inches. See the illustration.

Part (a): Express the surface area S of the box as a function of x.

Part (b): Using a graphing utility, graph the function found in part (a).

Part (c): What is the minimum amount of cardboard that can be used to construct the box?

Part (d): What are the dimensions of the box that minimize the surface are?

Part (e): Why might UPS be interested in designing a box that minimizes the surface area?

In physics, it is established that the acceleration

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g(h)=3.99×1014(6.374×106+h)2

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See all solutions

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