AnswersRMA FL-1200710-Mathematics for College Algebra Semester 2Cumulative Exam

Cumulative Exam — Cumulative exam Answers

50 verified answers
1
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Which is the graph of f(x) = (x + 3)(x – 2)?

A
Option
B
Option
C
Option
D
Option
2
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The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x < 0
B
x > 0
C
x < 1
D
all real numbers
3

Which equation is represented by the graph below?

Question illustration
A
y = one-eighth e Superscript x
Option A
B
y = one-half e Superscript x
Option B
C
y = 2 e Superscript x
Option C
D
y = 8 e Superscript x
Option D
4

Which expression is equivalent to ?

Question illustration
A
x Superscript one-half Baseline y Superscript 4
Option A
B
x Superscript one-eighth Baseline y Superscript 8
Option B
C
x Superscript one-fourth Baseline y Superscript 8
Option C
D
x Superscript one-fourth Baseline y Superscript 4
Option D
5

What are the potential solutions of

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
6

The graph of which function has an axis of symmetry at x = ?

Question illustration
A
f(x) = 2x2 + x – 1
B
f(x) = 2x2 – x + 1
C
f(x) = x2 + 2x – 1
D
f(x) = x2 – 2x + 1
7

The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35
8

Which expression is equivalent to ? Assume .

Question illustration
A
x y squared StartRoot 8 x cubed EndRoot
Option A
B
2 x cubed y cubed StartRoot x y squared EndRoot
Option B
C
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
Option C
D
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Option D
9

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
10

Which expression is equivalent to ? Assume x 0 and .

Question illustration
A
StartFraction 4 x (RootIndex 4 StartRoot y squared EndRoot) Over 9 EndFraction
Option A
B
StartFraction 2 x (RootIndex 4 StartRoot y squared EndRoot) Over 3 EndFraction
Option B
C
StartFraction 4 x squared y Over 9 EndFraction
Option C
D
StartFraction 2 x squared y Over 3 EndFraction
Option D
11

Which of the following shows the true solution to the logarithmic equation

Question illustration
A
x = negative 1
Option A
B
x = 1
Option B
C
and
Option C
D
, , and
Option D
12

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1

Question illustration
A
1.01
B
1.21
C
1.26
D
10.44
13

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
14

The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower.

Question illustration
A
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower.
B
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
C
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli.
D
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.
15

What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
16

On a piano, the formula to determine the frequency, f, for the G above A440 is . Which of the following is equivalent to f?

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
17

Which statement is true about the solution of ?

Question illustration
A
x = –2 is an extraneous solution, and x = 6 is a true solution.
B
x = 6 is an extraneous solution, and x = –2 is a true solution.
C
Both x = –2 and x = 6 are extraneous solutions.
D
Both x = –2 and x = 6 are true solutions.
18

Which equation shows a valid step in solving ?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
19

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
20

Which expression is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 2 cubed EndRoot
Option A
B
StartRoot 2 Superscript 5 EndRoot
Option B
C
RootIndex 4 StartRoot 4 cubed EndRoot
Option C
D
StartRoot 4 Superscript 5 EndRoot
Option D

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