Find the domain of the function.
85)
f(x) =1
x + 7
85)
A)
( , )
B)
( , –7) or (–7, )
C)
(–7, )
D)
( , 0) or (0, )
Solve the problem.
86)
Linda needs to have her car towed. Little Town Auto charges a flat fee of $65 plus $2 per mile
towed. Write a function expressing Linda’s towing cost, C, in terms of miles towed, x. Find the cost
of having a car towed 8 miles.
86)
A)
C(x) =2x +65; $81
B)
C(x) =2+65; $67
C)
C(x) =2x +65; $71
D)
C(x) =2x; $16
A
Find the slope of the line that goes through the given points.
87)
(–8, –5), (4, –5)
87)
A)
2
B)
1
C)
0
D)
–2
C
88)
(–2, 1), (6, 2)
88)
A)
–1
8
B)
3
4
C)
1
8
D)
8
C
Use the given conditions to write an equation for the line in slope–intercept form.
89)
Passing through (3, 5) and perpendicular to the line whose equation is y =9x +9.
89)
A)
y = – 9x – 48
B)
y =1
9x –16
3
C)
y = – 1
9x +16
3
D)
y = – 1
9x –16
3
C
Use intercepts and a checkpoint to graph the linear function.
41
B
90)
x +5y =10
90)
A)
(0, 2), (–10, 0)
B)
(0, 2), (–2, 0)
C)
(0, –10), (10, 0)
D)
(0, 2), (10, 0)
42
Find the slope and the y–intercept of the line.
91)
x =2y + 5
91)
A)
m =1
2; b = – 5
2
B)
m =2; b = – 5
2
C)
m =2; b =5
D)
m = – 1
2; b = – 5
2
Solve the problem.
92)
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly
producer is given by the polynomial equation C(x) =0.6x +34,000. What is the slope in this model?
Describe what this means in terms of rate of change.
92)
A)
m = – 0.6; The cost of producing jelly jars decreased at a rate of 0.6 per year.
B)
m =34,000; The cost of producing jelly jars increased at a rate of 34,000 per year.
C)
m =0.6; The cost of producing jelly jars increased at a rate of 0.6 per year.
D)
m = – 34,000; The cost of producing jelly jars decreased at a rate of 34,000 per year.
Find the requested value.
93)
f(x) =2x2+ 4, g(x) = x – 4
Find (f – g)(3).
93)
A)
23
B)
15
C)
–25
D)
29
Use the given conditions to write an equation for the line in slope–intercept form.
94)
Passing through (3, 3) and perpendicular to the line whose equation is y =2x +8.
94)
A)
y = – 2x – 9
B)
y = – 1
2x +9
2
C)
y =1
2x –9
2
D)
y = – 1
2x –9
2
43
Solve for k if the line through the two given points is to have the given slope.
95)
(–4, 4) and (1, k), m =1
5
95)
A)
k = – 29
B)
k =29
C)
k =5
D)
k = – 5
Find the slope of the line that goes through the given points.
96)
(4
5, –5) and ( 4
5, 5)
96)
A)
Undefined
B)
0
C)
–25
8
D)
–8
25
Find the indicated function value.
97)
x f(x)
–5–8
–3 0
012
324
532
For what value of x is f(x) =12?
97)
A)
–3
B)
3
C)
–5
D)
0
Find the domain and range.
98)
{(–3, 13), (–2, 8), (0, 4), (2, 8), (4, 20)}
98)
A)
domain: {–3, –2, 0, 2, 4}; range: {13, 8, 4, 20}
B)
domain: {13, 8, 4, 20}; range: {–3, –2, 0, 2, 4}
C)
domain: {–3, –2, 2, 4}; range: {13, 8, 4, 20}
D)
domain: {13, 8, 4, 20}; range: {–3, –2, 2, 4}
Use the vertical line test to determine whether or not the graph is a graph of a function.
99)
99)
A)
not a function
B)
function
Find the slope and the y–intercept of the line.
100)
2y =5x – 3
100)
A)
m = – 2
5; b =3
2
B)
m = – 5
2; b = – 3
2
C)
m =5
2; b = – 3
2
D)
m =5
2; b =3
2
Use the slope and y–intercept to graph the linear function.
101)
h(x) =3
5x + 1
101)
45
A)
B)
C)
D)
Find the domain and range.
102)
{(29, –3), (4, –2), (4, 0), (8, 2), (20, 4)}
102)
A)
domain: {–3, –2, 2, 4}; range: {29, 8, 4, 20}
B)
domain: {29, 8, 4, 20}; range: {–3, –2, 0, 2, 4}
C)
domain: {29, 8, 4, 20}; range: {–3, –2, 2, 4}
D)
domain: {–3, –2, 0, 2, 4}; range: {29, 8, 4, 20}
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.
103)
Slope = – 6
7, passing through (0, 3)
103)
A)
f(x) = – 7
6x –7
2
B)
f(x) = – 6
7x – 3
C)
f(x) =6
7x – 3
D)
f(x) = – 6
7x + 3
Use the graph to identify domain and range.
104)
104)
A)
domain: ( , )
range: [0, 7]
B)
domain: [2, 7]
range: ( , )
C)
domain: ( , )
range: [2, 7]
D)
domain: [0, 7]
range: ( , )
Given f(x) and g(x), find the following.
105)
f(x) =x2– 5x and g(x) = x + 7. Find (f – g)(x) and (f – g)(2).
105)
A)
x2– 5x – 7; –15
B)
x2– 6x – 7; –13
C)
x2– 6x – 7; –15
D)
–5x – 7; –17
47
The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
106)
If f(x) =15%, what year is represented by x?
106)
A)
1995
B)
1990
C)
1980
D)
1985
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
107)
f(x) =x2, g(x) =x2+3
107)
48
A)
g shifts the graph of f vertically
down 3units
B)
g shifts the graph of f vertically
up 3units
C)
g shifts the graph of f vertically
up 3units
D)
g shifts the graph of f vertically
down 3units
Determine whether the relation is a function. Give domain and range of the relation.
108)
{(–1, 8), (2, 4), (4, 2), (6, –2)}
108)
A)
not a function; domain: {–1, 2, 4, 6}, range: {8, 4, 2, –2}
B)
not a function; domain: {8, 4, 2, –2}, range: {–1, 2, 4, 6}
C)
function; domain: {8, 4, 2, –2}, range: {–1, 2, 4, 6}
D)
function; domain: {–1, 2, 4, 6}, range: {8, 4, 2, –2}
Use the vertical line test to determine whether or not the graph is a graph of a function.
109)
109)
A)
not a function
B)
function
Use the slope and y–intercept to graph the linear function.
110)
–x +5y =15
110)
A)
B)
50
C)
D)
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.
111)
Slope = – 7, passing through (2, 4)
111)
A)
f(x) = – 1
7x –18
7
B)
f(x) = – 7x – 18
C)
f(x) = – 7x + 18
D)
f(x) =7x – 18
Find the indicated function value.
112)
Find f(–1) when f(x) =5x2+ 5x – 3.
112)
A)
–3
B)
3
C)
7
D)
–7
Rewrite the given equation in slope–intercept form by solving for y.
113)
–x +9y =99
113)
A)
y = – 1
9x + 11
B)
y = – x +99
C)
y =1
9x + 11
D)
y =9x – 99
Use intercepts and a checkpoint to graph the linear function.
51
114)
x –2y = – 10
114)
A)
(0, 5), (–10, 0)
B)
(0, 5), (–5, 0)
C)
(0, 5), (10, 0)
D)
(0, –10), (10, 0)
Find the indicated function value.
115)
Find f(3) when f(x) =x2– 4x + 2.
115)
A)
23
B)
19
C)
–5
D)
–1
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
116)
f(x) =x, g(x) =x+2
116)
A)
g shifts the graph of f vertically
down 2units
B)
g shifts the graph of f vertically
up 2units
53
C)
g shifts the graph of f vertically
down 2units
D)
g shifts the graph of f vertically
up 2units
Use the graph to identify domain and range.
117)
117)
A)
domain: {–5}
range: ( , )
B)
domain: (0, )
range: {–5}
C)
domain: {–5}
range: (0, )
D)
domain: ( , )
range: {–5}
Solve the problem.
118)
Find the domain of f
g when f(x) =9x2+4x –2 and g(x) = x –8.
118)
A)
{8}
B)
( , –8) or (–8, )
C)
( , 8) or (8, )
D)
{–8}
Find the domain and range.
119)
{(–4,–3), (–4,–7), (–10,4), (5,–4), (–9,9)}
119)
A)
domain = {–10, 5, –9, –4}; range = {4, –4, 9, –7, –3}
B)
domain = {–10, –3, 5, –9, –4}; range = {4, –4, 9, –7, –3}
C)
domain = {4, –4, 9, –7, –3}; range = {–10, –10, 5, –9, –4}
D)
domain = {–10, 13, 5, –9, –4}; range = {4, –4, 9, –7, –3}
A
Find the slope.
120)
Find the slope of a line perpendicular to the line y = – 3x.
120)
A)
0
B)
1
3
C)
– 3
D)
undefined
B
Solve the problem.
121)
A firm is considering a new product. The accounting department estimates that the total cost, C(x),
of producing x units will be
C(x) =60x +5470.
The sales department estimates that the revenue, R(x), from selling x units will be
R(x) =70x,
but that no more than 333 units can be sold at that price. Find and interpret (R – C)(333).
121)
A)
$2140 profit, income exceeds cost
It is worth it to develop product.
B)
$880 profit, income exceeds cost
It is worth it to develop product.
C)
$48,760 profit, income exceeds cost
It is worth it to develop product.
D)
–$2140 loss, cost exceeds income
It’s not worth it to develop product.
D
C
Decide whether the relation is a function.
122)
{(–5, 3), (–2, 6), (2, –7), (6, –5)}
122)
A)
function
B)
not a function
Rewrite the given equation in slope–intercept form by solving for y.
123)
x + y =9
123)
A)
y = – x – 9
B)
y = x – 9
C)
y = – x + 9
D)
y = x + 9
C
Find the slope and the y–intercept of the line.
124)
–4y + 5x = – 35
124)
A)
m = – 5
4; b =35
4
B)
m =5
4; b =35
4
C)
m =5
4; b = – 35
4
D)
m = – 4
5; b = – 35
4
B
For the pair of functions, determine the domain of f +
g.
125)
f(x) =2x + – 3, g(x) =2x +2
125)
A)
(0, )
B)
( , )(–, )
C)
( , 0) or (0, )
D)
( , –2) or (–2, )
B
Find the indicated function value.
126)
Find f(4) when f(x) =x3+ 4
x2+ 7 .
126)
A)
20
23
B)
17
4
C)
64
23
D)
68
23
D
56
A
The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
127)
If f represents the function, find f(1970).
127)
A)
approximately 9.5%
B)
approximately 4%
C)
approximately 2.5%
D)
approximately 7.5%
Solve the problem.
128)
The price of a certain commodity is a function of supply and demand. The table below shows the
price of the commodity per barrel between 2005 and 2010. Find the average annual rate of change
between 2008 and 2010.
Price of the Commodity per Barrel
Price
(dollars)
Year
128)
A)
$2.50 per year
B)
$23.00 per year
C)
$11.50 per year
D)
–$11.50 per year
Decide whether the relation is a function.
129)
{(–6, –8), (–3, 9), (–1, –5), (2, 3)}
129)
A)
function
B)
not a function
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
130)
f(x) =x3, g(x) =x3+2
130)
58
A)
g shifts the graph of f vertically
up 2units
B)
g shifts the graph of f vertically
down 2units
C)
g shifts the graph of f vertically
down 2units
D)
g shifts the graph of f vertically
up 2units
Find the indicated function value.
131)
Find f(1) when f(x) =18x + 12.
131)
A)
6
B)
–6
C)
30
D)
19.2
59
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.
132)
Passing through (10, –84) and (1, –3)
132)
A)
f(x) = – 1
9x –746
9
B)
f(x) =1
9x –766
9
C)
f(x) =9x – 174
D)
f(x) = – 9x + 6
Solve the problem.
133)
The price of a certain commodity is a function of supply and demand. The table below shows the
price of the commodity per barrel between 2005 and 2010. Find the average annual rate of change
between 2006 and 2008.
Price of the Commodity per Barrel
Price
(dollars)
Year
133)
A)
–$6.00 per year
B)
$6.00 per year
C)
$2.50 per year
D)
–$12.00 per year