AnswersPARTA - EVP PGCPS ALGEBRA 2 OC FALL2026 - 793033Multiplying and Dividing Rational Expressions

Graphing Rational Functions Answers

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1
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Name the vertical asymptote(s).✔ x = -1 and x = 2y = -1 and y = 2x = 1/4y = 1/4x = 0y = 0

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

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

The domain cannot be determined✔ is all nonzero real numbersis all real numbers except cis all real numbers.

A
cannot be determined
B
✔ is all nonzero real numbers
C
is all real numbers except c
D
is all real numbers
4

The range cannot be determined✔ is all nonzero real numbersis all real numbers except cis all real numbers.

A
cannot be determined
B
✔ is all nonzero real numbers
C
is all real numbers except c
D
is all real numbers
5

Name the horizontal asymptote(s).x = -1 and x = -2y = -1 and y = -2x = 1/4✔ y = 1/4x = 0y = 0

A
x = -1 and x = -2
B
y = -1 and y = -2
C
x = 1/4
D
✔ y = 1/4
E
x = 0
F
y = 0
6

because

A
m < n
B
m = n
C
am < bn
D
am = bn
E
this is where the function is undefined
7

all real numbersall nonzero real numbersX all real numbers except 2/3all real numbers except –1 and 1

A
all real numbers
B
all nonzero real numbers
C
X all real numbers except 2/3
D
all real numbers except –1 and 1
8

Which of the following could be the function graphed?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Consider the function f(x) = c x , where c is a nonzero real number.

Answers:
Consider the function f(x) = c x , where c is a nonzero real number.:is x = 0
Consider the function f(x) = c x , where c is a nonzero real number.:is y = 0
Consider the function f(x) = c x , where c is a nonzero real number.:is all nonzero real numbers
Consider the function f(x) = c x , where c is a nonzero real number.:is all nonzero real numbers
10

Consider the function f(x) = c x , where c is a nonzero real number.

Answers:
Consider the function f(x) = c x , where c is a nonzero real number.:is x = 0
Consider the function f(x) = c x , where c is a nonzero real number.:is y = 0
Consider the function f(x) = c x , where c is a nonzero real number.:is all nonzero real numbers
Consider the function f(x) = c x , where c is a nonzero real number.:is all nonzero real numbers
11

Consider the following function:How does the graph of this function compare with the graph of the parent function, ?

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.
12

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

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.

14

Check each that you included in your solution.

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.
15

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.
16

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

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