Graphing Rational Functions Answers

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1
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Name the vertical asymptote(s).

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

Name the horizontal asymptote(s).

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
5

because

A
m < n
B
m = n
C
am < bn
D
am = bn
E
this is where the function is undefined
8

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

A
all real numbers
B
all nonzero real numbers
C
all real numbers except 2/3
D
all real numbers except –1 and 1
9

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.
11

Which of the following could be the function graphed?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
12

Identify the graph of?

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D
14

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

Question illustration
A
mr001-2.jpg
Option A
B
m = n
C
There is only one vertical asymptote.
D
y = –1 is the horizontal asymptote.
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 .

Answers:
Selection 1:is x = 0
Selection 2:is y = 0
Selection 3:is all nonzero real numbers
Selection 4:is all nonzero real numbers
44

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.
46

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

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
47

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48

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