Answers25-26 Lusk -- Algebra 2 - 4th Nine WeeksUnit Test

Unit Test — Cumulative exam Answers

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1
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Let f(x) = x + 3 and . The graph of is shown below. What is the range of ?

Question illustration
A
all real numbers except y = –3
B
all real numbers except y = 0
C
all real numbers except y = 3
D
all real numbers
2
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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
3

If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5
4

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
5

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
6

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
7

What are the domain and range of the piecewise function below?

Question illustration
A
domain: range:
Option A
B
domain: or range: or
Option B
C
domain: range:
Option C
D
domain: or range: or
Option D
8

Jalen solved the equation by graphing. Which graph can Jalen use to show his solution?

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
9

What are the domain and range of f(x) = 2(3x)?

A
domain: ; range:
Option A
B
domain: ; range:
Option B
C
domain: ; range:
Option C
D
domain: ; range:
Option D
10

What is the value of ?

Question illustration
A
3
B
5
C
15
D
25
11

Let f(x) = x + 3 and . The graph of is shown below. What is the range of ?

Question illustration
A
all real numbers except y = –3
B
all real numbers except y = 0
C
all real numbers except y = 3
D
all real numbers
12

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain:range:
Option C
D
domain: range:
Option D
13

What is written as a single logarithm?

Question illustration
A
log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket
Option A
B
log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)
Option B
C
log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket
Option C
D
log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)
Option D
14

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
15

For what value of x does ?

Question illustration
A
1
B
3
C
12
D
no solution
16

Myra uses an inverse variation function to model the data for the ordered pairs below.(2, 30), (3, 20), (4, 15), (5, 12), (6, 10)Which statement best explains whether an inverse variation function is the best model for the data?

A
An inverse function is the best model because as x increases, y decreases.
B
An inverse function is the best model because the products of corresponding x- and y-values are equal.
C
An inverse variation function is not the best model because data points approximate a straight line.
D
An inverse variation function is not the best model because the data points show an exponential decay.
17

What are the domain and range of f(x) = |x + 6|?

A
domain: ; range: f(x) 0
Option A
B
domain: x ; range:
Option B
C
domain: x ; range:
Option C
D
domain: ; range: f(x) 0
Option D
18

What is the solution to

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 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
20

An object falls from a window. The distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. The object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. Assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds?

A
10.8 m
B
19.6 m
C
21.6 m
D
39.2 m

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