Quiz about Asymptotes & Holes of Rational Functions

Question 1

Which asymptote(s) are determined by looking at the factors of the denominator?

Accepted Answer

vertical

Answer

horizontal

Answer

slant

Answer

none

Question 2

Find the coordinates of the hole.

Accepted Answer

(-3, -3)

Answer

(-3, 3)

Answer

(3, -3)

Answer

(3, 3)

Question 3

A hole occurs when....

Accepted Answer

A factor from the numerator cancels with a factor in the denominator.

Answer

You wear pants that are too tight.

Answer

The degree of the numerator is one more than the degree of the denominator.

Answer

The denominator cannot be factored.

Question 4

Where is the hole?

Accepted Answer

x= 5

Answer

x= 4

Answer

x= -4

Answer

x= -5

Question 5

What is the Vertical Asymptotes?

Accepted Answer

x= 5

Answer

x= -5

Answer

x= 2

Answer

x= -2

Question 6

What (if any) holes exist?

Accepted Answer

x=2

Answer

x=2 and x=3

Answer

x=-3

Answer

x=3

Question 7

What is/are the vertical asymptote(s)?

Accepted Answer

x=3

Answer

x=-2

Answer

x=2 and x=3

Answer

x=-3

Question 8

What is the horizontal asymptote?

Accepted Answer

y = 1

Answer

y = -4

Answer

x = 1

Answer

y = -6

Question 9

What are the asymptotes?

Accepted Answer

x=1, y=3

Answer

x=-1 y = -3

Answer

x=1 y = -3

Answer

x=-1 y =3

Question 10

Where is the horizontal asymptote?

Accepted Answer

y= 0

Answer

y= 6

Answer

y= 1

Answer

none

Question 11

What type(s) of asymptotes does this function have? (Check all that apply.)

Accepted Answer

Vertical

Accepted Answer

Horizontal

Answer

Oblique

Question 12

What type(s) of asymptotes does this function have? (Check all that apply.)

Accepted Answer

Horizontal

Answer

Vertical

Answer

Oblique

Question 13

What type(s) of asymptotes does this function have? (Check all that apply.)

Accepted Answer

Vertical

Accepted Answer

Horizontal

Answer

Oblique

Question 14

What type(s) of asymptotes does this function have? (Check all that apply.)

Accepted Answer

Horizontal

Answer

Vertical

Answer

Oblique

Asymptotes & Holes of Rational Functions

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