A)
g shifts the graph of f vertically
up 4units
B)
g shifts the graph of f vertically
down 4units
C)
g shifts the graph of f vertically
down 4units
D)
g shifts the graph of f vertically
up 4units
Solve the problem.
Along with incomes, people’s charitable contributions have steadily increased over the past few
years. The table below shows the average deduction for charitable contributions reported on
individual income tax returns for the period 2007 to 2012. Find the average annual increase
between 2009 and 2011.
Average Deduction for Charitable Contributions
Charitable
Contributions
(dollars)
A(2009, 2470)
B(2011, 3060)
Year
46)
A)
$315 per year
B)
$295 per year
C)
$590 per year
D)
$335 per year
Find the slope and the y–intercept of the line.
10x –4y – 40 = 0
47)
A)
m = – 5
2; b =10
B)
m =5
2; b = – 10
C)
m =2
5; b =4
D)
m =10; b =40
Use intercepts and a checkpoint to graph the linear function.
22
–2x – 6y =12
48)
A)
(0, –2), (6, 0)
B)
(0, –6), (–2, 0)
C)
(0, 6), (2, 0)
D)
(0, –2), (–6, 0)
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
23
f(x) = x, g(x) = x –2
49)
A)
g shifts the graph of f vertically
down 2units
B)
g shifts the graph of f vertically
up 2units
C)
g shifts the graph of f vertically
up 2units
D)
g shifts the graph of f vertically
down 2units
Find the domain of the function.
f(x) = x –7
x – 3
50)
A)
( , )
B)
( , 3) or (3, )
C)
( , 7) or (7, )
D)
( , 0) or (0, )
Use the slope and y–intercept to graph the linear function.
7x + 5y = 0
51)
A)
B)
C)
D)
Decide whether the relation is a function.
Tallest Roller Coaters in U.S. Amusement Parks
Amusement Park Name Park A Park A Park B Park C Park B Park A
Coaster Height (feet) 72 69 65 64 60 57
52)
A)
function
B)
not a function
Solve the problem.
A firm making microwave ovens finds that the total cost, C(x), of producing x units is given by
C(x) =60x +790.
The revenue, R(x), from selling x units is determined by the price per unit times the number of units
sold, thus
R(x) =70x.
Find and interpret (R – C)(71).
53)
A)
$150 profit, income exceeds cost
B)
$80 profit, income exceeds cost
C)
–$80 loss, cost exceeds income
D)
$10,020 profit, income exceeds cost
Solve.
An investment is worth $3539 in 2007. By 2010 it has grown to $4112. Let y be the value of the
investment in the year x, where x = 0 represents 2007. Write a linear equation that models the value
of the investment in the year x.
54)
A)
y =191x +3539
B)
y = – 191x +3539
C)
y = – 191x +4685
D)
y =1
191x +3539
Graph the equation in the rectangular coordinate system.
26
f(x) =2
55)
A)
B)
C)
D)
Find the indicated function value.
f(x) =3x + 1, g(x) =2x2– 3x –2
Find (f + g)(2).
56)
A)
1
B)
17
C)
7
D)
19
Use intercepts and a checkpoint to graph the linear function.
–2x – 8y =8
57)
A)
(0, –4), (–1, 0)
B)
(0, –1), (–4, 0)
C)
(0, 4), (1, 0)
D)
(0, –1), (4, 0)
Solve.
A vendor has learned that, by pricing pretzels at $1.25, sales will reach 137 pretzels per day.
Raising the price to $2.00 will cause the sales to fall to 101 pretzels per day. Let y be the number of
pretzels the vendor sells at x dollars each. Write a linear equation that models the number of
pretzels sold per day when the price is x dollars each.
58)
A)
y = – 1
48 x +26299
192
B)
y =48x + 77
C)
y = – 48x –197
D)
y = – 48x +197
Write the point–slope form of the line satisfying the conditions. Then use the point–slope form of the equation to write
the slope–intercept form of the equation in function notation.
Slope =2
3, passing through (2, –4)
59)
A)
f(x) = – 2
3x +16
3
B)
f(x) = – 3
2x – 8
C)
f(x) = – 2
3x –16
3
D)
f(x) =2
3x –16
3
Find the slope and the y–intercept of the line.
f(x) =4x
60)
A)
m =1
4; b = 0
B)
m = 0; b =4
C)
m = – 4; b = 0
D)
m =4; b = 0
Find the indicated function value.
Find r(a + 5) when r(x) =7
x + 9 .
61)
A)
7
a + 9 +1
2
B)
12
a + 9
C)
7
9a +35
9
D)
7
a + 14
Find the domain and range.
{(–7,7), (–1,–7), (–3,–5), (–3,–8)}
62)
A)
domain = {–7, –3, –1}; range = {7, –5, –7, –8}
B)
domain = {–7, –3, –1, 3}; range = {7, –5, –7, –8}
C)
domain = {7, –5, –7, –8}; range = {–7, –3, –1}
D)
domain = {–7, –3, –1, –13}; range = {7, –5, –7, –8}
A
Solve.
A vendor has learned that, by pricing hot dogs at $1.25, sales will reach 123 hot dogs per day.
Raising the price to $1.75 will cause the sales to fall to 99 hot dogs per day. Let y be the number of
hot dogs the vendor sells at x dollars each. Find a linear equation that models the number of
hot dogs sold per day when the price is x dollars each. Write the equation in slope–intercept form
using function notation.
63)
A)
f(x) = – 48x +183
B)
f(x) =48x + 63
C)
f(x) = – 48x –183
D)
f(x) = – 1
48 x +23,611
192
A
D
Use the graph to find the value.
(f + g)(–4)
64)
A)
4
B)
–4
C)
–20
D)
8
Answer:
D
Explanation:
A)
B)
C)
D)
Graph the linear function.
–4x – 8y =8
65)
A)
B)
31
C)
D)
Use the graph to find the value.
(f – g)(6)
66)
A)
2
B)
–2
C)
6
D)
–6
Use the given conditions to write an equation for the line in slope–intercept form.
Passing through (5, –4) and parallel to the line whose equation is y = – 5x +6.
67)
A)
y =5x – 21
B)
y = – 5x + 21
C)
y = – 5x – 21
D)
y = – 1
5x –21
5
32
Rewrite the given equation in slope–intercept form by solving for y.
6x –5y =30
68)
A)
y = – 6
5x + 6
B)
y =6x + 30
C)
y =6
5x – 6
D)
y =5
6x + 5
Write the point–slope form of the line satisfying the conditions. Then use the point–slope form of the equation to write
the slope–intercept form of the equation in function notation.
Slope =6
7, passing through (0, 3)
69)
A)
f(x) = – 6
7x – 3
B)
f(x) =6
7x – 3
C)
f(x) =7
6x +7
2
D)
f(x) =6
7x + 3
D
Decide whether the relation is a function.
{(–5, –1), (–3, –2), (–1, 1), (–1, –4)}
70)
A)
function
B)
not a function
B
C
Use the graph to find the value.
f
g(3)
71)
A)
7
B)
– 7
C)
1
7
D)
–1
7
Find the slope.
Find the slope of a line parallel to the line x = – 4.
72)
A)
0
B)
–4
C)
–1
4
D)
undefined
Determine if the graph represents y as a function of x.
73)
A)
Function
B)
Not a function
Find the indicated function value.
f(x) =3x + 5, g(x) = – 4x + 1
Find (f + g)(–3).
74)
A)
8
B)
9
C)
–17
D)
–3
Find the slope and the y–intercept of the line.
y = – 5
4x –5
2
75)
A)
m = – 4
5; b =5
2
B)
m = – 5
2; b = – 5
4
C)
m =5
4; b =5
2
D)
m = – 5
4; b = – 5
2
Find the domain and range.
{(5,3), (–11,–8), (–1,9), (6,–7), (–2,–1)}
76)
A)
domain = {–1, 6, –7, –1, 9}; range = {5, 3, –11, –8, –2}
B)
domain = {5, 3, –11, –8, –2}; range = {–1, 6, –7, –1, 9}
C)
domain = {5, –11, –2, 6, –1}; range = {3, –8, –1, –7, 9}
D)
domain = {3, –8, –1, –7, 9}; range = {5, –11, –2, 6, –1}
Use the vertical line test to determine whether or not the graph is a graph of a function.
77)
A)
not a function
B)
function
A
78)
A)
function
B)
not a function
A
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
36
C
f(x) = – 3x, g(x) = – 3x +4
79)
A)
g shifts the graph of f vertically
down 4units
B)
g shifts the graph of f vertically
up 4units
C)
g shifts the graph of f vertically
up 4units
D)
g shifts the graph of f vertically
down 4units
37
Find the requested value.
f(x) =4x + 2, g(x) = – 3x2– 2x + 2
Find f
g(–5).
80)
A)
2
7
B)
18
67
C)
22
63
D)
–2
7
Use intercepts and a checkpoint to graph the linear function.
y +1
3x =2
81)
A)
(0, –6), (6, 0)
B)
(0, 2), (6, 0)
38
C)
(0, 2), (–6, 0)
D)
(0, 2), (–2, 0)
Find the slope and the y–intercept of the line.
–x +12y – 36 = 0
82)
A)
m =1
12 ; b =3
B)
m = – 1; b =36
C)
m =12; b = – 36
D)
m = – 1
12 ; b =3
Use intercepts and a checkpoint to graph the linear function.
5x – 15y =30
83)
39
A)
(0, –2), (6, 0)
B)
(0, 6), (–2, 0)
C)
(0, –6), (2, 0)
D)
(0, –2), (–6, 0)
Find the slope.
Find the slope of a line parallel to the line –7x + 5y =6.
84)
A)
7
5
B)
–5
7
C)
6
D)
undefined
40