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Find the horizontal and vertical asymptotes of f(x). Then graph f(x)x8f(x) 6If there is a horizontal asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choiceO A. The horizontal asymptote is(Type anequation.)O B. There is no horizontal asymptoteIf there is a vertical asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choice.O A. The vertical asymptote is(Type an equation.)B. There is no vertical asymptote.Choose the correct graph of f(x)O D.O A.O BO C.101010x1010-1010 ML10-Click to select your answer.

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Find the horizontal and vertical asymptotes of f(x). Then graph f(x)
x8
f(x) 6
If there is a horizontal asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choice
O A. The horizontal asymptote is
(Type an
equation.)
O B. There is no horizontal asymptote
If there is a vertical asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choice.
O A. The vertical asymptote is(Type an equation.)
B. There is no vertical asymptote.
Choose the correct graph of f(x)
O D.
O A.
O B
O C.
10
10
10
x
10
10
-10
10 ML
10-
Click to select your answer.
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Find the horizontal and vertical asymptotes of f(x). Then graph f(x) x8 f(x) 6 If there is a horizontal asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choice O A. The horizontal asymptote is (Type an equation.) O B. There is no horizontal asymptote If there is a vertical asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choice. O A. The vertical asymptote is(Type an equation.) B. There is no vertical asymptote. Choose the correct graph of f(x) O D. O A. O B O C. 10 10 10 x 10 10 -10 10 ML 10- Click to select your answer.

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Step 1

 

The given function is:

8x
f(x)6+x
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8x f(x)6+x

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Step 2

Definition used:

 

Asymptote of rational functions:

Let r be the rational function
r (x)antan_12" 1.+...+a1x+a
bmmbm 1m_1+...+b10+bo
1. The vertical asymptotes of rare the lines
= a where a is a zero of
the denominator
2. (a) if n m, then rhas horizontal asymptote y 0.
(a) If n m, then r has horizontal asymptote y =
(b) If n m, then rhas no horizontal asymptote.
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Let r be the rational function r (x)antan_12" 1.+...+a1x+a bmmbm 1m_1+...+b10+bo 1. The vertical asymptotes of rare the lines = a where a is a zero of the denominator 2. (a) if n m, then rhas horizontal asymptote y 0. (a) If n m, then r has horizontal asymptote y = (b) If n m, then rhas no horizontal asymptote.

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Step 3

Horizontal asymptote:

 

The degree of the numerator (n) and the degree of the denominator (m) is 1.

 

Since n = m, the h...

y
1
=1
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y 1 =1

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Tagged in

Math

Calculus

Functions

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