AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PGraphing Rational Functions

Lesson 5.6: Graphing 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 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, ? 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.
12

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

A
Option
B
Option
C
Option
D
Option
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

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
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

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
18

because

A
m < n
B
m = n
C
am < bn
D
am = bn
E
this is where the function is undefined
19

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
20

because

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

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