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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

Analyze each polynomial function using Steps 1through 8:

f(x)=x4+x3-3x2-x+2.

One solution of the equation x3+5x2+5x-2=0 is -2.

Find the sum of the remaining solutions.

The concentration C of a certain drug in a patient's bloodstream t hours after injection is given by

Ct=50tt2+25

Part (a): Find the horizontal asymptote of Ct. What happens to the concentration of the drug as t increases?

Part (b): Using your graphing utility, graph C=Ct.

Part (c): Determine the time at which the concentration is highest.

x3+2x2-3x>0

Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

F(x)=x4-16x2-2x
See all solutions

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