AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PVertical Asymptotes of Rational Functions

Vertical Asymptotes of Rational Functions Answers

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1
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Name the vertical asymptote(s).

A
= -1 and x = 2
B
y = -1 and y = 2
C
= 1/4
D
y = 1/4
E
= 0
F
y = 0
2
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becausem < nm = nam < bnam = bnthis is where the function is undefined

A
m < n
B
m = n
C
am < bn
D
am = bn
E
this is where the function is undefined
3

Name the horizontal asymptote(s).

A
= -1 and x = -2
B
y = -1 and y = -2
C
= 1/4
D
y = 1/4
E
= 0
F
y = 0
4

becausem < nm = nam < bnam = bnthis is where the function is undefined

A
m < n
B
m = n
C
am < bn
D
am = bn
E
this is where the function is undefined
5

What is the domain of the function? [___]

A
all real numbers
B
all nonzero real numbers
C
all real numbers except 2/3
D
all real numbers except –1 and 1
6

Which of the following could be the function graphed?

A
Option
B
Option
C
Option
D
Option
7

Identify the graph of?

Question illustration
A
Option
B
Option
C
Option
D
Option
8

Consider the following function:Which of the following are correct? Check all of the boxes that apply.

Question illustration
A
Option
B
m = n
C
There is only one vertical asymptote.
D
y = –1 is the horizontal asymptote.
9

Consider the function f(x) = c x , where c is a nonzero real number. The vertical asymptote . The horizontal asymptote . The domain . The range .

A
cannot be determined
B
is x = 0
C
is x = c
D
is y = 0
E
is y = c
10

Consider the following function:How does the graph of this function compare with the graph of the parent function, ? It is shifted right 5 units and up 2 units from the parent function.It is shifted left 5 units and up 2 units from the parent function.It is shifted right 5 units and down 2 units from the parent function.It is shifted left 2 units and down 5 units from the parent function.It is shifted right 2 units and up 5 units from the parent function.It is shifted left 2 units and up 5 units

Question illustration
A
It is shifted right 5 units and up 2 units from the parent function.
B
It is shifted left 5 units and up 2 units from the parent function.
C
It is shifted right 5 units and down 2 units from the parent function.
D
It is shifted left 2 units and down 5 units from the parent function.
E
It is shifted right 2 units and up 5 units from the parent function.
F
It is shifted left 2 units and up 5 units from the parent function.
11

Which of the following is the function represented by the graph?

A
Option
B
Option
C
Option
D
Option
12

Sound intensity, I, from a spherical source is a function of the distance, r, from the source of the sound. It is represented by the functionwhere P is the power of the sound. Explain the behavior of the graph of I and what it means in context.

Question illustration
Answer:

The function I = P / (4πr²) is a rational function. It has a vertical asymptote at r = 0, which means the sound intensity is undefined at the source. It also has a horizontal asymptote at I = 0, indicating that as the distance (r) from the sound source increases, the intensity (I) decreases and approaches zero.

13

The graph approaches 0 as x approaches infinity.The graph approaches 0 as x approaches negative infinity.The graph approaches 2/3 as x approaches infinity.The graph approaches –1 as x approaches negative infinity.

A
The graph approaches 0 as x approaches infinity.
B
The graph approaches 0 as x approaches negative infinity.
C
The graph approaches 2/3 as x approaches infinity.
D
The graph approaches –1 as x approaches negative infinity.
14

The horizontal asymptote cannot be determinedis x = 0is x = c✔ is y = 0is y = c.

A
cannot be determined
B
is x = 0
C
is x = c
D
✔ is y = 0
E
is y = c
15

Check each that you included in your solution.The vertical asymptote is r = 0.The intensity is undefined at the source.The horizontal asymptote is I = 0.As the distance from the source increases, the intensity goes to zero.The intensity decreases as the distance increases.

A
The vertical asymptote is r = 0.
B
The intensity is undefined at the source.
C
The horizontal asymptote is I = 0.
D
As the distance from the source increases, the intensity goes to zero.
E
The intensity decreases as the distance increases.
16

Consider the function f(x) = c x , where c is a nonzero real number. The vertical asymptote . The horizontal asymptote . The domain . The range .

A
cannot be determined
B
is all nonzero real numbers
C
is all real numbers except c
D
is all real numbers
17

Consider the function f(x) = c x , where c is a nonzero real number. The vertical asymptote . The horizontal asymptote . The domain . The range .

A
cannot be determined
B
is all nonzero real numbers
C
is all real numbers except c
D
is all real numbers

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