Quiz about Rational Functions Vertical Asymptotes Holes and Graphs Lesson

Question 1

A line that the graph continually approaches but never touches is a(n) _____________________

Accepted Answer

asymptote

Answer

parabola

Answer

rational function

Answer

None of these

Question 2

there is a vertical asymptote

Accepted Answer

when the denominator equals zero

Answer

when the degree of the numerator is exactly one more than the denominator

Answer

when there is a common factor in the numerator and denominator

Answer

when the degree of the numerator is the same as the denominator

Question 3

There is a hole in the graph

Accepted Answer

when the numerator and denominator have a common factor

Answer

where the denominator equals zero

Answer

if the degree of the numerator is exactly one more than the denominator

Answer

if the degree of the numerator and denominator are the same.

Question 4

You determine if the graph has a horizontal asymptote by

Accepted Answer

comparing the degree of the numerator and denominator

Answer

setting the denominator equal to zero and solving

Answer

dividing the numerator and denominator

Answer

determining if the numerator and denominator have a common factor.

Question 5

State the vertical asymptote:

(x-2) / (x+5)

Accepted Answer

x = -5

Answer

x = -2/5

Answer

x = -5/2

Answer

x = 2

Question 6

Find the Vertical Asymptotes. Hint: Factor (look for GCF)

Accepted Answer

x= 0, -2

Answer

x= 2

Answer

x= -3, 2

Answer

x = -3,1

Question 7

Find the vertical asymptote(s).

Accepted Answer

x = -7

Answer

x = 3 and x = -7

Answer

x = 3

Answer

x = -4

Question 8

Find the vertical asymptote(s). Hint: Factor

Accepted Answer

x = 1

Answer

x = 1 and x = -1

Answer

x = -1

Answer

x = 0

Question 9

Find the horizontal asymptote.

(4x-16) / (x² - 16)

Accepted Answer

y=0

Answer

y=2

Answer

y=1

Answer

none

Question 10

Find the horizontal asymptote.

Accepted Answer

y = 1/2

Answer

y = -2

Answer

none

Answer

y = 0

Question 11

What is the Horizontal Asymptote?

Accepted Answer

y= 1

Answer

None

Answer

y= 0

Answer

y= 5/4

Question 12

What is the horizontal asymptote to this function?

Accepted Answer

y=4

Answer

x=4

Answer

y=0

Answer

none

Question 13

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 14

What are the asymptotes?

Accepted Answer

x=2 and y=1

Answer

x=-2 and y=-1

Answer

x=-2 and y=1

Answer

x=2 and y = -1

Question 15

Is there a hole or a vertical asymptote? Hint: Factor

Accepted Answer

A hole when x = 2

Answer

A vertical asymptote at x = 2

Answer

there is no hole or vertical asymptote

Question 16

Find the coordinates of the hole. Hint: Factor

Accepted Answer

(-3, -3)

Answer

(-3, 3)

Answer

(3, -3)

Answer

(3, 3)

Question 17

Which equation best represents the graph? Look at how the graph has been moved.

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 18

Find the hole of the function. Hint: Factor

(x²- 9x+20) / (4x² - 12x- 40)

Accepted Answer

x =5

Answer

x=0

Answer

x=4

Answer

x=-2

Question 19

Where is the removable discontinuity aka hole? Hint: Factor

Accepted Answer

x=2

Answer

x=2 and x=3

Answer

x=-3

Answer

x=3

Question 20

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 21

Find the hole. Hint: Factor

(x + 3) / (x²+ x - 6)

Accepted Answer

(-3, -1/5

Answer

(-3, -6)

Answer

(2, 4)

Answer

(-3, -5)

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