Graphing rational functions

Oct 22nd, 2015
Steve1995
Category:
Mathematics
Price: $10 USD

Question description

answers only***

Which of the following functions is graphed below?


a. y equals fraction numerator minus 5 x squared over denominator x squared plus 9 end fraction

b. y equals fraction numerator 5 x squared over denominator x squared minus 9 end fraction

c. y equals fraction numerator 5 x squared over denominator x squared plus 9 end fraction

d. y equals fraction numerator minus 5 x squared over denominator x squared minus 9 end fraction



What is the horizontal asymptote of the graph of the following function? 

y equals fraction numerator 10 x squared minus 1 over denominator x cubed plus 8 end fraction


a. y=-10

b. y=0

c. y=2

d. y=10



Which of the following functions has a graph with a slant asymptote?


a. y equals fraction numerator x over denominator x squared minus 9 end fraction

b. y equals fraction numerator x squared plus 4 x minus 5 over denominator x minus 6 end fraction

c. y equals fraction numerator 2 x squared plus x over denominator x squared plus 1 end fraction

d. y equals fraction numerator 2 x minus 8 over denominator 3 x squared minus 9 end fraction



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

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


a. x​ = -5, ​x​ = -2

b. x​ = 5, ​x​ = 2

c. x​ = -5, ​x​ = 2

d. x​ = 5, ​x​ = -2



Identify all holes in the function below. 

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


a. x​ = -2

b. x​ = -1

c. x​ = 5

d. x​ = 1



Identify vertical asymptotes in the function below.

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


a. x​ = -3

b. x​ = 1, ​x​ = -3

c. x​ = 1

d. x​ = 7



Which of the following graphs shows the function below?

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


a. http://www.intervisualtechnology.us/data/1/15616/U6L5Q7A.jpg

b. http://www.intervisualtechnology.us/data/1/15617/U6L5Q7B.jpg

c. http://www.intervisualtechnology.us/data/1/15618/U6L5Q7C.jpg

d. http://www.intervisualtechnology.us/data/1/15619/U6L5Q7D.jpg



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

http://www.intervisualtechnology.us/data/1/15620/U6L5Q8.jpg


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

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

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

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

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

d. f left parenthesis x right parenthesis space equals space fraction numerator 1 over denominator x squared minus 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 minus 3 x space minus 4 end fraction

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

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

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




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