Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Is the following correspondence a function?
1)
A)
Yes
B)
No
2)
A)
No
B)
Yes
3)
A)
No
B)
Yes
4)
A)
No
B)
Yes
5)
A)
Yes
B)
No
6)
A)
Yes
B)
No
7)
A)
Yes
B)
No
8)
Domain: All students attending Laughlin Community College
Correspondence: Each student’s Social Security Number
Range: A set of Social Security Numbers
A)
No
B)
Yes
9)
Domain: All students attending the University of Ohio
Correspondence: Each student’s teachers
Range: A set of teachers
A)
No
B)
Yes
10)
Name Test Score
Bob L. 91
Susan H. 83
Jim H. 76
Bruce B. 96
A)
No
B)
Yes
Find the function value.
11)
Find f(3) when f(x) = – x +5.
A)
2
B)
6
C)
3
D)
-2
12)
Find f(-9) when f(x) = – 4x – 39.
A)
156
B)
-3
C)
2
D)
-39
13)
Find f(–3) when f(x) =6x –3.
A)
-21
B)
21
C)
-24
D)
-13
14)
Find g(a + 1) when g(x) =2x + 4.
A)
2a + 4
B)
1
2a + 4
C)
2a + 6
D)
2a – 1
15)
Find f(-5) when f(x) =-2.
A)
-2
B)
-5
C)
2
D)
10
16)
Find f(–1) when f(x) =x2– 4x + 6.
A)
11
B)
-9
C)
-1
D)
3
17)
Find f(0) when f(x) =x2– 5x + 2.
A)
4
B)
0
C)
-2
D)
2
18)
Find f(2a) when f(x) =8x2+7x.
A)
8a2+14a
B)
32a2+7a
C)
16a2+14a
D)
32a2+14a
19)
Find f(4) when f(x) =5x2– 4x + 2.
A)
66
B)
98
C)
2
D)
62
20)
Find f(3) when f(x) =x – 5 .
A)
-2
B)
5
C)
3
D)
2
21)
Find f(7) when f(x) =x3.
A)
216
B)
343
C)
2187
D)
21
22)
Find f(-3) when f(x) =x4+-5.
A)
76
B)
-86
C)
22
D)
7
Solve the problem.
23)
It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a
certain bait is f(t) = .21t + 1, for t > 10. Find the approximate number of fish that can be caught if you fish for 30
minutes.
A)
About 32 fish
B)
About 34 fish
C)
About 7 fish
D)
About 16 fish
24)
The function P(d) = 1 +d
33 gives the pressure, in atmospheres (atm), at a depth d feet in the sea. Find the
pressure at 42 feet.
A)
25
11 atm
B)
43
33 atm
C)
14
11 atm
D)
3
11 atm
25)
The function F described by F(C) =9
5C + 32 gives the Fahrenheit temperature corresponding to the Celsius
temperature C. Find the Fahrenheit temperature equivalent to -30 °C.
A)
-76 °F
B)
-184 °F
C)
-22 °F
D)
-130 °F
Graph the function.
3
26)
f(x) =3x + 4
A)
B)
C)
D)
4
27)
y =-2x – 3
A)
B)
C)
D)
28)
f(x) =1
5x + 3
A)
B)
C)
D)
29)
f(x) =x2+ 1
A)
B)
C)
D)
7
30)
f(x) =x2+ 2x – 5
A)
B)
C)
D)
8
31)
f(x) = – x2– 2x – 6
A)
B)
C)
D)
32)
f(x) =9–x2
A)
B)
C)
D)
33)
f(x) =
3– x
A)
B)
C)
D)
34)
f(x) =x– 1
A)
B)
C)
D)
35)
f(x) =x3+ 2
A)
B)
C)
D)
13
Determine whether the graph is the graph of a function.
36)
A)
Not a function
B)
Function
37)
A)
Function
B)
Not a function
38)
A)
Function
B)
Not a function
39)
A)
Function
B)
Not a function
40)
A)
Not a function
B)
Function
41)
A)
Function
B)
Not a function
Solve.
42)
Cars sold
Year
Crafty Bill‘s Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a
function of time. What is the approximate number of cars sold in 1993?
A)
500 cars
B)
250 cars
C)
650 cars
D)
600 cars
43)
Cars sold
Year
Crafty Bill‘s Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a
function of time. What is the approximate number of cars sold in 1995?
A)
250 cars
B)
800 cars
C)
600 cars
D)
850 cars
44)
The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in
the graph below. How high will the projectile be after 2.2 seconds?
Height (in ft)
Time (in sec)
A)
300 ft
B)
350 ft
C)
275 ft
D)
325 ft
45)
The surface area a of a cylinder is shown in the graph below. What is the radius if the surface area is 30 m2?
Surface Area (in m2)
Height (in ft)
A)
1.6 m
B)
1.2 m
C)
1.4 m
D)
1.0 m
46)
The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find
the area if the length is 7 cm.
Area (in cm2)
Length (in cm)
A)
63 cm2
B)
28 cm2
C)
35 cm2
D)
49 cm2
For the function represented in the graph, determine the domain or range, as requested.
47)
Find the domain.
A)
{–4, –3, –2, –1, 0, 1, 2, 3}
B)
{–5, –4, –3, –2, –1, 0, 1, 2, 3}
C)
{x|–4 x 4}
D)
{x|-3 x 3}
48)
Find the domain.
A)
{x|4 x -4}
B)
{x|–5 x 5}
C)
{x|-4 x 7}
D)
{x|-1 x 4}
D
49)
Find the domain.
A)
{–5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5}
B)
{x|-2 x 4}
C)
{x|-4 x 4}
D)
{x|-2 x 2}
C
A
50)
Find the range.
A)
{–5, –4, –3, –2, –1, 0, 1, 2, 3}
B)
{x|-3 x 3}
C)
{–4, –3, –2, –1, 0, 1, 2, 3, 4}
D)
{x|–5 x 3}
51)
Find the range.
A)
{x|–4 x 2}
B)
{x|–5 x 5}
C)
{x|-2 x 2}
D)
{x|-0.45 x 4.45}
A
52)
Find the range.
A)
{x|–5 x 5}
B)
{x|–5 x 3}
C)
{–3, –2, –1, 0, 1, 2, 3, 4, 5}
D)
{x|–3 x 5}
D
A
53)
Find the range.
A)
{x|–1 x 1}
B)
{–5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5}
C)
{x|1 x -1}
D)
{x|-4 x 1}
54)
Find the domain.
A)
{x|–5 x 5}
B)
{x|–3 x 3}
C)
all real numbers
D)
{x|–18 x 18}
B
55)
Find the domain.
A)
{x|–5 x <5}
B)
{x|–4 x 4}
C)
{x|–5 x 5}
D)
{x|–5< x <5}
A
D