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Chapter 4: Q. 9 (page 224)

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

a horizontal asymptote.

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information 

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

02

Step 2. True or False

We know that the domain of a rational function cannot be determined by Horizontal asymptotes. So, a graph cannot intersect a horizontal asymptote.

Thus the given statement is True.

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Most popular questions from this chapter

Write a few paragraphs that provide a general strategy for graphing a polynomial function. Be sure to mention the following: degree, intercepts, end behavior, and turning points.

In Problems 65鈥�68, construct a polynomial function that might have the given graph. (More than one answer may be possible.)

Find the real zeros of f. Use the real zeros to factor f. f(x)=x4+x3-3x2-x+2

In Problems 49鈥� 60, for polynomial function

f(x)=-2x2+33

(a) List each real zero and its multiplicity.

(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.

(c) Determine the maximum number of turning points on the graph.

(d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of x.

In Problems 63鈥�72, find the real solutions of each equation.

2x3+3x2+2x+3=0
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