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Chapter 4: Q. 11 (page 224)

If a rational function is proper, then______ is a horizontal

asymptote.

Short Answer

Expert verified

If a rational function is proper, then y=0is a horizontal

asymptote.

Step by step solution

01

Step 1. Given information

The given statement is "

If a rational function is proper, then______ is a horizontal

asymptote."

02

Step 2. Fill in the blank

We know that for proper rational function the degree of the numerator is less than the degree of the denominator and the horizontal asymptote of the proper function is y=0.

So,

If a rational function is proper, theny=0 is a horizontal

asymptote.

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Most popular questions from this chapter

In Problems 13鈥�24, find the domain of each rational function.

R(x)=3(x2-x-6)4(x2-9)

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=2x5-x4-x2+1

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=4x4+15x2-4

Find the bounds to the zeros of each polynomial function. Use the bounds to obtain a complete graph of f.

f(x)=2x3-x2-11x-6

x3+2x2-3x>0
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