### Identify the choice that best completes the

```Absolute Value and Reciprocal Functions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1. Evaluate the expression
.
A –67.5
C 64.5
B –64.5
D 67.5
____2. Determine the value of the absolute value expression
A –5
C –85
B 85
D 5
____3. Evaluate
.
A 17
C 35
B 21
D 25
.
____4. The graph of
is
y
A
–10 –8
–6
–4
y
C
16
16
14
14
12
12
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–6
–4
8
10
x
2
4
6
8
10
x
16
14
14
12
12
10
10
8
8
6
6
4
4
2
2
–2
–2
6
y
D
16
–10 –8
4
–4
y
B
2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
____5. What are the domain and range of
A
C
B
D
?
____6. Determine the solution to
17
1
or x =
2
2
17
1
B x =
or x = 
2
2
A x = 
____7. Solve
A x =
C no solution
D x = 
1
2
.
C x =
10
B x = ± 2
10 , x = ± 2
±
D x =
10 , x = 2
____8. Which graph represents the reciprocal of
y
A
–6
–4
y
C
10
–10 –8
?
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
2
4
6
8
10
x
y
B
10
–10 –8
–6
–4
y
D
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
2
4
____9. Which graph represents the reciprocal of
y
A
–5
–4
–3
–2
4
3
2
2
1
1
2
3
4
5
x
–4
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
4
3
3
2
2
1
1
1
2
3
4
5
x
2
3
4
5
x
1
2
3
4
5
x
5
4
–1
–1
1
y
D
5
–5
–5
–2
y
B
x
5
3
1
10
y
4
–1
–1
8
?
C
5
6
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
____10.
The equation of the vertical asymptote for the reciprocal of
y = 8x – 4 is
A x = 
B x = 2
1
2
C x =
1
2
D x =2
1. Evaluate each absolute value expression.
a)
b)
c)
d)
2. Given the graph of
:
a) sketch the graph of
b) state the domain and range
c) express
as a piecewise function.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
1
2
3
4
5
x
3. Consider the function
.
a) Express the function in vertex form,
.
b) Sketch the graph of the function. Label the vertex and x-intercepts.
c) What are the domain and range?
y
9
8
7
6
5
4
3
2
1
–9
–8
–7
–6
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
–6
–7
–8
–9
1
2
3
4
5
6
7
8
9
x
Problem
1. Graph the reciprocal function
a) the equations of any asymptotes
b) the domain and range
and determine
Absolute Value and Reciprocal Functions
MULTIPLE CHOICE
1. ANS:
NAT:
2. ANS:
NAT:
3. ANS:
NAT:
4. ANS:
NAT:
5. ANS:
NAT:
6. ANS:
NAT:
7. ANS:
NAT:
8. ANS:
NAT:
9. ANS:
NAT:
10. ANS:
NAT:
C
RF 2
D
RF 2
B
RF 2
D
RF 2
B
RF 2
C
RF 2
C
RF 2
D
RF 11
A
RF 11
C
RF 11
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
PTS:
TOP:
1
DIF: Easy
Absolute Value
1
DIF: Average
Absolute Value
1
DIF: Difficult
Absolute Value
1
DIF: Average
Absolute Value Functions
1
DIF: Easy
Absolute Value Functions
1
DIF: Average
Absolute Value Equations
1
DIF: Average
Absolute Value Equations
1
DIF: Average
Reciprocal Functions
1
DIF: Average
Reciprocal Functions
1
DIF: Easy
Reciprocal Functions
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
OBJ:
KEY:
Section 7.1
evaluating expressions
Section 7.1
evaluating expressions
Section 7.1
evaluating expressions
Section 7.2
graphing | linear
Section 7.2
domain | range | linear
Section 7.3
linear | no solution
Section 7.3
Section 7.4
linear | graphing
Section 7.4
Section 7.4
vertical asymptote
1. ANS:
a)
b)
c)
d)
PTS: 1
DIF: Average
OBJ: Section 7.1
NAT: RF 2
TOP: Absolute Value
2. ANS:
a)
KEY: evaluating expressions
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
b) The domain is all real numbers or
The range is all non-negative values of y, or
.
.
c)
PTS: 1
DIF: Average
TOP: Absolute Value Functions
3. ANS:
a)
OBJ: Section 7.2
NAT: RF 2
KEY: linear | graphing | domain | range | piecewise function
b)
y
9
8
7
6
5
4
(4, 3)
3
2
1
(2.8, 0)
–1
–1
1
2
(5.2, 0)
3
4
5
6
7
8
9
x
c) The domain is all real numbers or
.
The range is all non-negative values of y, or
PTS: 1
DIF: Difficult
TOP: Absolute Value Equations
.
OBJ: Section 7.2
NAT: RF 2
KEY: graphing | quadratic | vertex form | domain | range
PROBLEM
1. ANS:
y
9
8
7
6
5
4
3
2
1
–7
–6
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
–6
–7
–8
–9
1
2
3
4
5
6
7
x
a)
There are vertical asymptotes at
and
and a horizontal asymptote at y = 0.
b) Domain
Range
PTS: 1
DIF: Easy
TOP: Reciprocal Functions
OBJ: Section 7.4
NAT: RF 11