AnswersPBCSD_Grade_Forgiveness_1200710_Mathematics_for_College_Algebra_S1_2023Unit Test

Unit Test — Unit test Answers

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1
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Which of the following is an odd function?

A
f(x) = x3 + 5x2 + x
B
f (x) = StartRoot x EndRoot
Option B
C
f(x) = x2 + x
D
f(x) = –x
2
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If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

A
Since the function is even, the outputs of a negative x-value and a positive x-value are the same.
B
Since the function is even, the outputs of a negative y-value and a positive y-value are the same.
C
The graph has rotational symmetry, so the point will be reflected across the y-axis.
D
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
3

Given , what is the average rate of change in f(x) over the interval [1, 5]?

Question illustration
A
–6
B
Negative one-half
Option B
C
One-fourth
Option C
D
1
4

The table shows three functions and their output values for different values of x.

Question illustration
A
Option
Option A
B
h(x) = (f(x))(g(x))
C
h(x) = f(x) – g(x)
D
h(x) = f(x) + g(x)
5

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

A
4.75 miles per hour
B
5.00 miles per hour
C
5.50 miles per hour
D
6.00 miles per hour
6

The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.The force of the rope is equal to the negative of the sum of the rope’s tension and the force of gravity.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

The formula for the volume of a sphere is . What is the formula solved for r?

Question illustration
A
r = 3 uppercase V + 4 pi
Option A
B
r = RootIndex 3 StartRoot 3 uppercase V minus 4 pi EndRoot
Option B
C
r = RootIndex 3 StartRoot StartFraction 3 V Over 4 pi EndFraction EndRoot
Option C
D
r cubed = 3 uppercase V minus 4 pi
Option D
8

If and , what is the domain of ?

Question illustration
A
mc020-4.jpg
Option A
B
mc020-5.jpg
Option B
C
mc020-6.jpg
Option C
D
mc020-7.jpg
Option D
9

The function C(L) = |L – 105| can be used to determine the difference between the expected and actual crop of lemons, L, from a single tree. The estimated total weight in pounds of number of lemons can be modeled by the function w(L) = 0.25L.

A
w(C((L))) = 0.25|L – 105|
B
w(C((L))) = 0.25|L – 26.25|
C
w(C((L))) = |0.25L – 105|
D
w(C((L))) = |0.25L – 26.25|
10

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
11

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
12

If f(x) = 7 + 4x and , what is the value of ?

Question illustration
A
Eleven-halves
Option A
B
StartFraction 27 Over 10 EndFraction
Option B
C
160
D
270
13

If and , what is the domain of ?

Question illustration
A
mc020-4.jpg
Option A
B
mc020-5.jpg
Option B
C
mc020-6.jpg
Option C
D
mc020-7.jpg
Option D
14

If h(x) is the inverse of f(x), what is the value of h(f(x))?

A
0
B
1
C
x
D
f(x)
15

When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the functionL(h) = 28.75h, where h is the number of estimated hours it will take to complete the job. Next, the estimator adds the labor burden, which accounts for taxes and insurance, using the function B(L) = 1.78L. Finally, the estimator calculates the selling price, including the markup for overhead and profit, using the function M(B) = 1.43B.

A
M(B(h)) = 73.18025h
B
M(B(h)) = 51.175h
C
M(B(h)) = 31.96h
D
M(B(h)) = 30.53h
16

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

Question illustration
A
w = StartFraction 8 x squared + 2 y Over y EndFraction
Option A
B
w = StartFraction 8 x squared minus 2 y Over y EndFraction
Option B
C
w = 8 x squared minus 3 y
Option C
D
w = 8 x squared minus y
Option D
17

What is the value of the following function when x = 0?

Question illustration
A
y = negative 5
Option A
B
y = negative 2
Option B
C
y = negative 1
Option C
D
y = 0
Option D
18

Given , find f(7).

Question illustration
A
–4
B
3
C
7
D
56
19

If , what is ?

Question illustration
A
mc003-3.jpg
Option A
B
mc003-4.jpg
Option B
C
f Superscript negative 1 Baseline (x) = one-ninth x + 2
Option C
D
f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth
Option D
20

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

Question illustration
A
b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction
Option A
B
b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h
Option B
C
b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction
Option C
D
b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)
Option D

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