AnswersPrecalculusCumulative Exam

Cumulative Exam — Cumulative exam Answers

0 verified answers1 views
21
Free Preview

Amanda has a job that pays $35 per hour for the first 40 hours worked each week, plus 1.5 times this hourly rate for work done over 40 hours. Suppose Amanda works 50 hours this week. How much will she earn before taxes?

A
$1,575
B
$1,750
C
$1,925
D
$2,625
22
Free Preview

What is the value of x in ?

Question illustration
A
Negative StartFraction 2 pi Over 3 EndFraction
Option A
B
Negative StartFraction pi Over 6 EndFraction
Option B
C
StartFraction 2 pi Over 3 EndFraction
Option C
D
StartFraction 7 pi Over 6 EndFraction
Option D
24

The graph below can be used to help solve which of the following trigonometric inequalities over the interval radians?

Question illustration
A
cosine (x) is less than 0.25
Option A
B
cosine squared (x) is less than 0.25
Option B
C
sine (x) is less than 0.25
Option C
D
sine squared (x) is less than 0.25
Option D
25

Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?

A
a pair of linear functions with defined slopes
B
a cubic function and a cube root function
C
a quadratic function and a square root function
D
a logarithmic function and an exponential function
26

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

Question illustration
A
1.5 days
B
2.5 days
C
9.4 days
D
21.1 days
27

Let v =. What is the approximate direction angle of v?

Question illustration
A
7°
B
83°
C
173°
D
353°
28

Consider the function f(x) = . What transformation results in g(x)?

Question illustration
A
Translate units left and 7 units up.
Option A
B
Translate units right and 7 units up.
Option B
C
Translate units left and 7 units down.
Option C
D
Translate units right and 7 units down.
Option D
29

What is the exact value of ?

Question illustration
A
Negative StartFraction StartRoot 2 minus StartRoot 2 EndRoot EndRoot Over 4 EndFraction
Option A
B
Negative StartFraction StartRoot 2 + StartRoot 2 EndRoot EndRoot Over 4 EndFraction
Option B
C
Negative StartFraction StartRoot 2 minus StartRoot 2 EndRoot EndRoot Over 2 EndFraction
Option C
D
Negative StartFraction StartRoot 2 + StartRoot 2 EndRoot EndRoot Over 2 EndFraction
Option D
30

A segment in the complex plane has a midpoint at 7 – 2i. If the segment has an endpoint at 11 – 3i, what is the other endpoint?

A
–10 –2i
B
3 – i
C
9 – 2.5i
D
18 – 4i
31

At which x-value does the cosine function attain a maximum value?

A
x = 0
B
x = StartFraction pi Over 2 EndFraction
Option B
C
x = 1
D
x = StartFraction 3 pi Over 2 EndFraction
Option D
32

Consider the graph of f(x) = 5x 6 – 5x 5 – x 4.

Question illustration
A
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than x less-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option A
B
One-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot less-than-or-equal-to x less-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option B
C
x less-than one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option C
D
x less-than-or-equal-to one-half minus StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot and x greater-than-or-equal-to one-half + StartFraction 3 Over 10 EndFraction StartRoot 5 EndRoot
Option D
33

If the function y = sin(x) is transformed to y = sin(2x), how does the graph change?

A
It is stretched vertically.
B
It is compressed vertically.
C
It is stretched horizontally.
D
It is compressed horizontally.
34

Review the graph.

Question illustration
A
A
B
B
C
C
D
D
35

Functions f(x) and g(x) are composed to form . If , what is the value of a?

Question illustration
A
0
B
–1
C
–2
D
–4
36

What is the length of a segment in the complex plane with endpoints at 4 + 2i and 7 – 2i?

A
root 5
Option A
B
i root 5
Option B
C
5
D
11i
37

What are all the exact solutions of for ? Give your answer in radians.

Question illustration
A
Option
Option A
B
and
Option B
C
and
Option C
D
, and
Option D
38

The acceleration y, in meters per second squared, of an object after x seconds is given by y = .During the first 10 seconds, over which intervals is the acceleration increasing?

Question illustration
A
(2, 6)
B
(4, 8)
C
(0, 2) and (6, 10)
D
(0, 4) and (8, 10)
39

Ingrid claims that . Review Ingrid’s steps in verifying her claim.Which statement describes Ingrid’s claim that and her steps in verifying her claim?

Question illustration
A
Ingrid’s claim is correct, and her steps are correct.
B
Ingrid’s claim is correct, but her steps are incorrect.
C
Ingrid’s claim is incorrect, but her steps are correct.
D
Ingrid’s claim is incorrect, and her steps are incorrect.

Did you find these answers helpful?

More from this Course

Quiz
50 verified answers

Cumulative Exam

Quiz
49 verified answers

Cumulative Exam

Quiz
25 verified answers

Trigonometric Difference Identities