Graphing Rational Functions, algebra homework help

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Graphing Rational Functions, algebra homework help

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

A.

B.

C.

D.

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

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

A.

B.

C.

D.

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

A.

B.

C.

D.

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

A.

B.

C.

D.

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