Quiz about Asymptotes and Discontinuities Algebraically

Question 1

What are the Vertical Asymptotes of...

Accepted Answer

x = 0, -5

Answer

x=0, 5

Answer

x = 2, -7

Answer

x = -2, 7

Question 2

What is the Vertical Asymptotes?

Accepted Answer

x= 6

Answer

x= -5

Answer

x= 5

Answer

x= -6

Question 3

Find the horizontal asymptote.

Accepted Answer

y = -1/3

Answer

None

Answer

y = 0

Answer

y = -3

Question 4

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

Accepted Answer

vertical

Answer

horizontal

Answer

slant

Answer

none

Question 5

Find the horizontal asymptote.

Accepted Answer

y = 1/2

Answer

y = -2

Answer

none

Answer

y = 0

Question 6

What is/are the vertical asymptote(s)?

Accepted Answer

x=3

Answer

x=-2

Answer

x=2 and x=3

Answer

x=-3

Question 7

Find the horizontal asymptote.

Accepted Answer

None

Answer

y=-2

Answer

y=2

Answer

y=0

Question 8

Where are the discontinuities?

Accepted Answer

holes: (5, 5)

asymptotes: x=3

Answer

holes: (3, 0)

asymptotes: x=5

Answer

holes: (-5, 5/4)

asymptotes: x=-3

Answer

holes: (5, 0)

asymptotes: x=-3

Question 9

Where are the discontinuities?

Accepted Answer

holes: (-1, 2)

asymptotes: none

Answer

holes: (-3,, 1)

asymptotes: x=-1

Answer

holes: none

asymptotes: x=-1

Answer

holes: (-1, 0)

asymptotes: x=-3

Question 10

Name the discontinuity at x=2.

Accepted Answer

Jump Discontinuity

Answer

Infinite Discontinuity

Answer

Removable Discontinuity

Answer

Continuous at x=2

Question 11

Name the discontinuity at x=2.

Accepted Answer

Removable Discontinuity

Answer

Infinite Discontinuity

Answer

Jump Discontinuity

Answer

Continuous at x=2

Question 12

A polynomial function is continuous to all real numbers.

Accepted Answer

TRUE

Answer

FALSE

Question 13

Which of the following best describes the continuity at x = 1?

Accepted Answer

Removable Point Discontinuity

Answer

Continuous

Answer

Infinite Discontinuity

Answer

Jump Discontinuity

Question 14

Which of the following graphs presents a removable/hole discontinuity at x = -2?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

Which of the following graphs presents an infinite discontinuity at x = 1?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 16

Which of the following graphs presents jump discontinuity at x = 1?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 17

When finding the Horizontal asymptotes of a function, you should be thinking...

Accepted Answer

"Look at the Degree of the top and bottom..."

Answer

"Set Bottom = to Zero"

Answer

"Top = 0"

Answer

"f(0)"

Question 18

This graph would have...

Accepted Answer

HA @ y = 1/2

Answer

HA @ y = 2

Answer

HA @ y = 0

Answer

No HA or OA

Question 19

What are the Vertical Asymptotes of...

Accepted Answer

x = 0, -5

Answer

x=0, 5

Answer

x = 2, -7

Answer

x = -2, 7

Question 20

What is the hole?

Accepted Answer

x= 5

Answer

x= 4

Answer

x= -4

Answer

x= -5

Question 21

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 22

What is the definition of an ASYMPTOTE?

Accepted Answer

A line that a curve approaches, as it heads towards infinity.

Answer

A curved line.

Answer

A line that only touches the origin.

Answer

A line that only lives on the first quadrant.

Question 23

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 24

What is/are the vertical asymptote(s)?

Accepted Answer

There are no vertical asymptotes

Answer

x=5

Answer

x=-5

Answer

x=-1/2

Question 25

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

Accepted Answer

Vertical Asymptote

Answer

Discontinuity

Answer

Hump Day

Answer

Infinite

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