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11:52mathxl.com2.6.65Find the horizontal and vertical asymptotes then graph the rational functiony3x 12If 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.

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11:52
mathxl.com
2.6.65
Find the horizontal and vertical asymptotes then graph the rational function
y
3x 12
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.
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11:52 mathxl.com 2.6.65 Find the horizontal and vertical asymptotes then graph the rational function y 3x 12 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.

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Step 1

Let the given function is y=4/(3x+12).

 

The graph of y has vertical asymptotes at those values of x at which the denominator is equal to zero.

 

Hence the given function has vertical asymptotes at:

 

3x 12 0
3(x+4)0
x +4 0
x= -4
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3x 12 0 3(x+4)0 x +4 0 x= -4

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Step 2

Thus, the graph will have vertical asymptotes at x = - 4 line.

Step 3

To find the horizontal asymptote, if the degree of denominator is greater than the degree of numerator then the graph of the function will have a horizontal asym...

y-0
3r+12
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y-0 3r+12

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