Quiz about Asymptotes of Rational Function

Question 1

What is the horizontal asymptote to this function?

Accepted Answer

y=4

Answer

y=0

Answer

y=-2

Answer

y=1

Question 2

Find the horizontal asymptote.

Accepted Answer

None

Answer

y=-2

Answer

y=2

Answer

y=0

Question 3

What is the vertical asymptote?

Accepted Answer

x=-4

Answer

x=1

Answer

x=4

Answer

x=3/2

Question 4

What is the x asymptote?

Accepted Answer

x=-4

Answer

x=1

Answer

x=4

Answer

x=3/2

Question 5

What is the y asmptote?

Accepted Answer

y=-8

Answer

y=8

Answer

x=2

Answer

x=3/2

Question 6

What is the equation of the asymptote of the graph?

Accepted Answer

y=0

Answer

x=0

Answer

x=-11

Answer

y=10

Question 7

What is the horizontal asymptote of this function?

Accepted Answer

y=1/2

Answer

y=2

Answer

x=1/2

Answer

y=1

Question 8

What is/are the Vertical Asymptote(s)?

Accepted Answer

x= -4

Answer

x= -4, x= 5

Answer

x= -5, x= 5

Answer

x= 4

Question 9

Find the vertical asymptotes and holes of the function.

Accepted Answer

Holes: x = -3;

VA: x = 1

Answer

Holes: None;

VA: x = 1, -3

Answer

Holes: x = -3, 1

VA: None

Answer

Holes: x = 1

VA: x = -3

Question 10

What are the asymptotes?

Accepted Answer

x= 2, x=-2, y = 1

Answer

x=1, x= 2, y =1, y= 2

Answer

x=2 y =-1

Answer

x=1 y =2, y =-2

Question 11

Does this function have any vertical asymptotes? If so, what are their equations? $$y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{\left(x-4\right)}$$

Accepted Answer

No vertical asymptotes.

Answer

One vertical asymptote: x = 4

Answer

Two vertical asymptotes: x = -3 and x = -7

Answer

Three vertical asymptotes: x = -3, x = 4, and x = -7

Question 12

Select all of the true statements.

Accepted Answer

A hole occurs where x=3

Accepted Answer

vertical asymptote at x=5

Answer

vertical asymptote at x=3

Answer

A hole occurs where x=5

Question 13

Identify the vertical asymptote(s).

Accepted Answer

x=-7

Accepted Answer

x=-3

Answer

x=0

Answer

x=6

Answer

x=3

Question 14

Find the vertical asymptote.
g\left(x\right)=\frac{\left(x+3\right)\left(x-2\right)}{\left(x+5\right)\left(2x-1\right)}

Accepted Answer

x=-5

Accepted Answer

x=1/2

Answer

x=-1/2

Answer

x=-3

Answer

x=2

Asymptotes of Rational Function

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