Graphing rational functions - 10 multiple choice

User Generated

algrnpue

Mathematics

Description

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

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Attached. Le...


Anonymous
Just the thing I needed, saved me a lot of time.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags