Quiz about Graph Rational Functions

Question 1

State the vertical asymptote: f(x)=(x-2)/(x+5).

Accepted Answer

x = -5

Answer

x = -2/5

Answer

x = -5/2

Answer

x = 2

Question 2

State the horizontal asymptote: (2x²-5x +1)/(x²-x)

Accepted Answer

y = 2

Answer

y = 1

Answer

y = 0

Answer

There is no HA

Question 3

State the vertical asymptotes: f(x) = 2 / (2x²+3x - 5)

Accepted Answer

x = 1, x = -5/2

Answer

x = 1 , x = -5

Answer

x = -1/2, x = 5

Answer

x = 0 , x = -5/2

Question 4

Find the domain of the rational function f(x) = x / (x²-25)

Accepted Answer

(-infinity, -5), (-5, 5) , (5, infinity)

Answer

(- infinity, -5) , (5, infinity)

Answer

(- infinity, 5) , (5, infinity)

Answer

(- infinity, 25) , (25, infinity)

Question 5

Find the x-intercept (zero) of the function f(x) = (x - 7) / x

Accepted Answer

(7, 0)

Answer

(0, 0)

Answer

(0, -7)

Answer

there is no x- intercept

Question 6

Question 6.

Accepted Answer

All Reals Except -3

Answer

All Reals Except 0

Answer

All Reals

Answer

All Reals Except 0 and -3

Question 7

Question 7.

Accepted Answer

None

Answer

-1

Answer

0

Answer

4

Question 8

Question 8.

Accepted Answer

x = -4

Answer

None

Answer

x = 3

Answer

x = 4

Question 9

What are the asymptotes of the following function:
y = x / (2x - 6)

Accepted Answer

y = 1/2, x = 3

Answer

y = 2, x = 6

Answer

y = 1/2, x = 6

Answer

y = 2, x = 3

Question 10

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

Accepted Answer

vertical

Answer

horizontal

Answer

end behavior

Answer

none

Question 11

What is the y-intercept for f(x) = (2x - 18)/(2x + 6)

Accepted Answer

(0,-3)

Answer

(-9,0)

Answer

(-3,0)

Answer

(0,1)

Question 12

What are the x-intercept(s) for the function
f(x) = (4x + 12)/(x - 6)

Accepted Answer

(-3,0)

Answer

(6,0)

Answer

(0,-2)

Answer

(4,0)

Question 13

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 14

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 15

What is the vertical asymptote?

Accepted Answer

x = 2

Answer

y = 2

Answer

x = 1

Answer

y = 1

Question 16

What is the horizontal asymptote?

Accepted Answer

y = 1

Answer

x = 2

Answer

y = 2

Answer

x = 1

Question 17

What are the equations of the asymptotes of the given graph

Accepted Answer

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

Answer

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

Answer

x=2 and  y= -1

Answer

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

Question 18

Which statement about the graph is true

Accepted Answer

No Horizontal Asymptote, Slant Asymptote instead

Answer

Horizontal Asymptote at y=0

Answer

No Horizontal Asymptote, Oblique Asymptote instead

Answer

Horizontal Asymptote at y=1

Question 19

Which equation best represents the graph?

Accepted Answer

y=(x+2)/(x-4)

Answer

y=(x-2)/(x-4)

Answer

y=(x+2)/(x+4)

Answer

y=(x+4)/(x-2)

Question 20

Question 20.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 21

Question 21.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 22

Question 22.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Graph Rational Functions

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