Quiz about Graphing Rational Functions and Asymptotes

Question 1

What is the Vertical Asymptotes?

Accepted Answer

x= 6

Answer

x= -5

Answer

x= 5

Answer

x= -6

Question 2

What are the asymptotes?

Accepted Answer

x = -3        y = 1

Answer

x = 3         y = 1

Answer

x = -3        y = -1

Answer

x = 3         y = -1

Question 3

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 4

Question 4.

Accepted Answer

All Reals Except -3

Answer

All Reals Except 0

Answer

All Reals

Answer

All Reals Except 0 and -3

Question 5

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

Accepted Answer

vertical

Answer

horizontal

Answer

slant

Answer

none

Question 6

What is an asymptote?

Accepted Answer

an imaginary line that your function never touches

Answer

a part of your function

Answer

a point on your graph

Answer

a type of fruit

Question 7

Select all the information that applies to the given rational function.

Accepted Answer

Hole at (1, 0)

Accepted Answer

H.A. at y = 2

Answer

V.A. at x = -3 and x = 1

Answer

x-intercepts at (3,0) and (1, 0)

Question 8

What is the X-Intercept?

Accepted Answer

x= 0

Answer

x= 4

Answer

x= 5

Answer

x= -5

Question 9

What are the x-intercepts?

Accepted Answer

x= 4, x = -2

Answer

x= 2/3

Answer

x= -8, x = 1

Answer

x= -4, x = 2

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

What is the horizontal asymptote to this function?

Accepted Answer

y=4

Answer

y=0

Answer

y=-2

Answer

y=1

Question 12

What (if any) holes exist?

Accepted Answer

x=2

Answer

x=2 and x=3

Answer

x=-3

Answer

x=3

Question 13

What is/are the vertical asymptote(s)?

Accepted Answer

x=3

Answer

x=-2

Answer

x=2 and x=3

Answer

x=-3

Question 14

What is the horizontal asymptote?

Accepted Answer

y = 1

Answer

y = -4

Answer

x = 1

Answer

y = -6

Question 15

What is the domain?

Accepted Answer

All real numbers except 2 and -2

Answer

All real numbers

Answer

All real numbers except 4

Answer

All real numbers except 2

Question 16

Is there a hole or a vertical asymptote?

Accepted Answer

A hole when x = 2

Answer

A vertical asymptote at x = 2

Answer

there is no hole or vertical asymptote

Question 17

The holes of a rational function occur when :

Accepted Answer

a factor in the denominator cancels with a factor in the numerator

Answer

my pencil pokes a hole in the paper I'm working on

Answer

there is something left in the denominator

Answer

the value of f(0)

Question 18

Find the horizontal asymptote.
4x-16
_______
x²-16

Accepted Answer

y=0

Answer

y=2

Answer

y=1

Answer

none

Question 19

What is the Vertical Asymptotes?

Accepted Answer

x= 5

Answer

x= -5

Answer

x= 2

Answer

x= -2

Question 20

What is the Y-Intercept?

Accepted Answer

(0, -5/6)

Answer

(0, 5)

Answer

(0, -6)

Answer

(0, 1)

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