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graphing rational functions 10 multiple choice

Which graph shows the asymptotes of the function below?

$f left parenthesis x right parenthesis space equals space fraction numerator x over denominator x space minus space 3 end fraction$

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Identify the equations of the vertical asymptotes of the following function.

$f left parenthesis x right parenthesis space equals space fraction numerator 3 over denominator x squared space minus space 7 x space plus space 10 end fraction$

x = -5, x = -2

x = 5, x = 2

x = -5, x = 2

x = 5, x = -2

——————————————–

Identify all holes in the function below.

$f left parenthesis x right parenthesis space equals space fraction numerator x squared space minus space 4 x space minus space 5 over denominator x squared space plus space 3 x space plus thin space 2 end fraction$

x = -2

x = -1

x = 5

x = 1

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Identify vertical asymptotes in the function below.

$f left parenthesis x right parenthesis space equals space fraction numerator x squared space minus space 8 x space plus space 7 over denominator x squared space plus space 2 x space minus space 3 end fraction$

x = 1, x = -3

x = 1

x = -3

x = 7

——————————-

Which of the following graphs shows the function below?

$f left parenthesis x right parenthesis space equals space fraction numerator x squared space minus space 2 x space minus space 15 over denominator x space minus space 5 end fraction$

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Which of the following graphs shows the function below?

$f left parenthesis x right parenthesis space equals space fraction numerator x space plus space 2 over denominator x space minus space 1 end fraction$

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Which of the following graphs shows the function below?

$f left parenthesis x right parenthesis space equals space fraction numerator 2 x over denominator x space minus space 1 end fraction$

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Which of the following functions is shown in the graph below?

A. $f left parenthesis x right parenthesis space equals space fraction numerator 3 x over denominator x squared space minus space 3 x space minus space 4 end fraction$

B. $f left parenthesis x right parenthesis space equals space fraction numerator 3 x over denominator x squared space plus space 3 x space minus space 4 end fraction$

C. $f left parenthesis x right parenthesis space equals space fraction numerator 3 x over denominator x squared space plus space 5 x space plus space 4 end fraction$

D. $f left parenthesis x right parenthesis space equals space fraction numerator 3 x over denominator x squared space minus space 5 x space plus space 4 end fraction$

====================

Which of the following functions is shown in the graph below?

A. $f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator x squared space plus space 4 x space plus thin space 4 end fraction$

B. $f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator x squared space minus space 4 x space plus thin space 4 end fraction$

C. $f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator x squared space plus space 4 end fraction$

D. $f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator x squared space minus space 4 end fraction$

======================

Which of the following functions is shown in the graph below?

A. $f left parenthesis x right parenthesis space equals space fraction numerator x cubed over denominator x squared space minus space 3 x space minus space 4 end fraction$

B. $f left parenthesis x right parenthesis space equals space fraction numerator x squared over denominator x squared space minus space 3 x space minus space 4 end fraction$

C. $f left parenthesis x right parenthesis space equals space fraction numerator 2 x over denominator x squared space minus space 3 x space minus space 4 end fraction$

D. $f left parenthesis x right parenthesis space equals space fraction numerator x over denominator x squared space minus space 3 x space minus space 4 end fraction$

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