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Asked Sep 27, 2019
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O POLYNOMIAL AND RATIONAL FUNCTIONS
Finding the asymptotes of a rational function: Linear over linear
Graph all vertical and horizontal asymptotes of the function.
Зx+4
f(x)=3x+9
4
2
-2
2
-5
3
4
4
-3
-2
3
-4
-5
X
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O POLYNOMIAL AND RATIONAL FUNCTIONS Finding the asymptotes of a rational function: Linear over linear Graph all vertical and horizontal asymptotes of the function. Зx+4 f(x)=3x+9 4 2 -2 2 -5 3 4 4 -3 -2 3 -4 -5 X

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Expert Answer

Step 1

Vertical asymptotes:

Set the denominator to zero: -3x + 9 = 0

Hence, x = 9/3 = 3

Hence, the vertical asymptote is x = 3

Step 2

Horizontal asymptote:

Obtain the limit of f(x) as x tends to infinity. Pleas...

За + 4
im
x003+9
lim
x0 3+
(3+
lim
-1
00(3
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За + 4 im x003+9 lim x0 3+ (3+ lim -1 00(3

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Tagged in

Math

Calculus

Limits