110 Practice Final Fall 2023
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School
The University of Tennessee, Knoxville *
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Course
MATH-113
Subject
Mathematics
Date
Jan 9, 2024
Type
Pages
28
Uploaded by MinisterSwanPerson492
110 Practice Final Fall 2023
Name:
Date:
Instructor:
This is 50 question multiple choice exam. You have exactly 2 hours to finish
the exam.
You must use a number two pencil.
Bubble in your name and
identification number before you start the exam on the Akindi Sheet. Bubble
in your answers on positions 1-50.
Fill in each circle completely and do not
make marks anywhere else on the Akindi Sheet. It is recommended that you
circle your answers on your exam as well.
1
1. Identify the equation of the graphed piecewise defined function:
−
2
−
1
1
2
3
4
−
12
−
10
−
8
−
6
−
4
−
2
2
4
6
8
10
12
(A)
f
(
x
) =
x
−
9
−
1
≤
x <
0
3
0
≤
x
≤
1
−
x
+ 9
1
< x <
3
(B)
f
(
x
) =
3
−
1
≤
x <
0
x
−
9
0
≤
x
≤
1
−
x
+ 9
1
< x <
3
(C)
f
(
x
) =
x
−
9
−
1
< x
≤
0
3
0
≤
x
≤
1
−
x
+ 9
1
< x <
3
(D)
f
(
x
) =
3
−
1
< x
≤
0
x
−
9
0
≤
x
≤
1
−
x
+ 9
1
< x <
3
2
2. Given the Piecewise Function, identify the correct evaluation.
f
(
x
) =
−
3
√
−
x
x <
−
4
x
−
2
−
4
≤
x <
4
− |
x
−
3
|
x
≥
4
(A)
f
(5) = 2
(B)
f
(4) =
−
1
(C)
f
(4) = 0
(D)
f
(5) = 3
3. Find the new function given the set of equations: (
f
−
g
)(
x
)
.
f
(
x
) =
x
2
−
4
x
+ 4
g
(
x
) = 3
x
2
+ 2
(A) 4
x
2
−
4
x
+ 6
(B) 4
x
2
−
4
x
+ 2
(C)
−
2
x
2
−
4
x
+ 6
(D)
−
2
x
2
−
4
x
+ 2
3
4. Evaluate using the given set of equations: (
f
·
g
)(
−
1)
f
(
x
) =
x
2
−
6
x
+ 9
g
(
x
) = 4
x
+ 2
(A) 7
(B)
−
32
(C)
−
96
(D) 14
5. Evaluate using the graph of
f
(
x
) and
g
(
x
) : (
f
÷
g
)(5)
1
2
3
4
5
6
1
2
3
4
5
6
f
(
x
)
g
(
x
)
(A)
−
2
5
(B)
13
5
(C)
3
5
(D)
−
12
5
4
6. Find the composite function given the set of equations: (
f
◦
g
)(
x
)
f
(
x
) =
x
2
+ 5
x
g
(
x
) = 3
x
2
−
7
(A) 3
x
4
+ 30
x
3
+ 75
x
2
−
7
(B) 27
x
4
−
126
x
2
+ 140
(C)
x
4
+ 10
x
3
+ 30
x
2
+ 25
x
(D) 9
x
4
−
27
x
2
+ 14
7. Given the Graph, identify the correct evaluation.
1
2
3
4
5
6
1
2
3
4
5
6
f
(
x
)
g
(
x
)
(A) (
g
◦
f
)(3) = 2
(B) (
f
◦
g
)(3) = 4
(C) (
g
◦
f
)(3) = 5
(D) (
f
◦
g
)(3) = 1
5
8. Given the table of data, determine if the table can represent a One-to-one function.
age of
weight of
student
backpack
16
19
13
18
15
30
17
18
14
28
(A) Neither one-to-one nor a function
(B) Not a function
(C) Not one-to-one
(D) One-to-one function
9. Use the Horizontal Line Test to determine if the given graph is a One-to-One
function.
−
1
1
2
3
4
−
9
−
8
−
7
−
6
−
5
−
4
−
3
−
2
−
1
1
2
(A) Not a function
(B) One-to-one function
(C) Not one-to-one
(D) Neither one-to-one nor a function
6
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