MAT 121 Liberty University Algebra Practice Quiz

4/11/22, 8:30 PM1.
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 2.2.009.
MY NOTES
ASK YOUR TEACHER
Sketch the graph of the function by first making a table of values.
f(x) = −x2
x
f(x) = −x2
0
±4
±3
±2
±1
Sketch the graph.
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2/21
4/11/22, 8:30 PM
2.
[–/2 Points]
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 2.1.052.
MY NOTES
ASK YOUR TEACHER
Find the domain and range of the function. (Enter your answers using interval notation.)
f(x) = 3×2 + 6
domain
range
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3/21
4/11/22, 8:30 PM
3.
[–/2 Points]
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 2.6.085.MI.
MY NOTES
ASK YOUR TEACHER
Determine whether the function f is even, odd, or neither.
f(x) = x8 + x
even
odd
neither
Sketch the graph of f. If f is even or odd, use symmetry to sketch its graph.
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4/21
4/11/22, 8:30 PM
4.
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 2.1.079.MI.
MY NOTES
ASK YOUR TEACHER
A tank holds 75 gal of water, which drains from a leak at the bottom, causing the tank to empty in 24 min. The tank drains faster when it is nearly
full because the pressure on the leak is greater. Toricelli’s Law gives the volume of water remaining in the tank after t minutes as
V(t) = 75
1−
t
2
0 ≤ t ≤ 24.
24
(a) Find V(0) and V(24).
V(0) =
gal
V(24)
=
gal
(b) What do your answers to part (a) represent?
V(0) represents the initial volume, and V(24) represents the final volume.
V(0) represents the time when the tank is empty, and V(24) represents the time when it is full.
V(24) represents the initial volume, and V(0) represents the final volume.
V(24) represents the the time when the tank is empty, and V(0) represents the time when it is full.
V(0) represents the initial rate at which the water is leaking, and V(24) represents the rate at which it is leaking when 24 gallons
have drained.
(c) Make a table of values of V(t) for t = 0, 6, 12, 18, 24. (Round your answer to three decimal places.)
t (in minutes)
V(t) (in gallons)
0
6
12
18
24
(d) Find the net change in the volume V as t changes from 0 min to 24 min.
gal
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5/21
4/11/22, 8:30 PM
5.
[–/2 Points]
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 2.7.007.
MY NOTES
ASK YOUR TEACHER
Find f + g, f − g, fg, and f/g and their domains.
f(x) = x, g(x) = 4x
Find (f + g)(x).
Find the domain of (f + g)(x). (Enter your answer using interval notation.)
Find (f − g)(x).
Find the domain of (f − g)(x). (Enter your answer using interval notation.)
Find (fg)(x).
Find the domain of (fg)(x). (Enter your answer using interval notation.)
Find
f
g
(x).
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6/21
4/11/22, 8:30 PM
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
Find the domain of
6.
[–/2 Points]
f
g
(x). (Enter your answer using interval notation.)
DETAILS
SCOLALG7 2.5.012.
MY NOTES
ASK YOUR TEACHER
Determine whether the given function is linear. If the function is linear, express the function in the form f(x) = ax + b. (If the function is not linear,
enter NOT LINEAR.)
f(x) =
4x − 5
x
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7/21
4/11/22, 8:30 PM
7.
[–/2 Points]
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 2.3.031.MI.
MY NOTES
ASK YOUR TEACHER
The graph of a function f is given. Use the graph to estimate the following. (Enter your answers using interval notation.)
(a) The domain and range of f.
domain
range
(b) The intervals on which f is increasing and on which f is decreasing.
increasing
decreasing
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8/21
4/11/22, 8:30 PM
[–/2 Points]
8.
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 2.6.006.
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
MY NOTES
ASK YOUR TEACHER
If a function f is an odd function, then what type of symmetry does the graph of f have?
The function f has symmetry with respect to the y-axis.
The function f has symmetry with respect to the origin.
The function f has symmetry with respect to the x-axis.
[–/2 Points]
9.
DETAILS
SCOLALG7 2.4.011.MI.
A function is given.
f(x) = 5x − 2;
x = 2, x = 3
(a) Determine the net change between the given values of the variable.
(b) Determine the average rate of change between the given values of the variable.
10.
[–/2 Points]
DETAILS
SCOLALG7 2.4.017.MI.
A function is given.
f(x) = x3 − 4×2;
x = 0, x = 10
(a) Determine the net change between the given values of the variable.
(b) Determine the average rate of change between the given values of the variable.
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9/21
4/11/22, 8:30 PM
11.
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
[–/2 Points]
DETAILS
SCOLALG7 2.3.011.
MY NOTES
ASK YOUR TEACHER
A function f is given.
f(x) = 3x + 5
(a) Sketch a graph of f.
Selection Tool
Line
Ray
Segment
Circle
Vertical Parabola
Horizontal Parabola
Point
No Solution
Help
10
9
8
7
6
5
4
3
2
1
-10 -9
-8
-7 -6
-5
-4
-3
-2
-1
1
-1
2
3
4
5
6
7
8
9
10
-2
-3
-4
-5
-6
-7
-8
-9
-10
Clear Graph
Delete Layer
Fill
WebAssign Graphing Tool
Graph LayersToggle Open/Closed
After you add an object to the graph you can use Graph Layers to view and edit its properties.
(b) Use the graph to find the domain and range of f. (Enter your answers using interval notation.)
domain
range
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10/21
4/11/22, 8:30 PM
12.
[–/2 Points]
Quiz: MQ Functions (2.1-2.7) – MATH 121, section D03 (SMITH), Spring 2022 | WebAssign
DETAILS
SCOLALG7 2.2.081.
MY NOTES
ASK YOUR TEACHER
Westside Energy charges its electric customers a base rate of $6.00 per month, plus 14¢ per kilowatt-hour (kWh) for the first 300 kWh used and
6¢ per kWh for all usage over 300 kWh. Suppose a customer uses x kWh of electricity in one month.
(a) Express the monthly cost E as a piecewise defined function of x. (Assume E is measured in dollars.)
if 0 ≤ x ≤ 300
E(x) =
if 300 < x (b) Graph the function E for 0 ≤ x ≤ 600. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=28982961#question3239156_34 11/21 4/11/22, 8:30 PM 13. Quiz: MQ Functions (2.1-2.7) - MATH 121, section D03 (SMITH), Spring 2022 | WebAssign [–/2 Points] DETAILS SCOLALG7 2.3.014. MY NOTES ASK YOUR TEACHER A function f is given. f(x) = 7 − 3x, 1