AnswersDCSS Algebra B-CR 24-25Unit Test

Unit Test — Unit test Answers

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Tables of values for two different functions are given below. Which statement is true?

Question illustration
A
The right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.
B
The right function grows approximately 21 times slower than the left function over the interval 4 < x < 5.
C
The right function grows approximately 6 times faster than the left function over the interval 2 < x < 3.
D
The right function grows approximately 2.5 times slower than the left function over the interval 2 < x < 3.
2
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If , what is the value of s?

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A
–1
B
0
C
1
D
no solution
3

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.

Question illustration
A
One-eighth
Option A
B
One-fourth
Option B
C
One-half
Option C
D
1
4

Which is the graph of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
5

Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.

A
0.05
B
0.5
C
1.05
D
5.0
6

For what value of n does ?

Question illustration
A
–3
B
Negative one-third
Option B
C
Five-ninths
Option C
D
1
7

Which table shows exponential decay?

A
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4.
Option B
C
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7.
Option C
D
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.
Option D
8

Which is the graph of f(x) = (4)x?

Question illustration
A
Option
B
Option
C
Option
D
Option
9

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

Question illustration
A
company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year
B
company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year
C
company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year
D
company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year
10

What is the common ratio of the sequence?-2, 6, -18, 54,...

A
−3
B
−2
C
3
D
8
11

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.25), (0, 0.5), (1, 1).

Question illustration
A
f(x) = 2
Option A
B
f(x) = (2)x
Option B
C
f(x) =
Option C
D
f(x) = 2(2)x
12

The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?

A
g(x) = 3x – 6
B
g(x) = 3x + 6
C
g(x) = 3x – 6
D
g(x) = 3x + 6
13

The function f(x) = 2·5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

A
2
B
5
C
10
D
32
14

What are the domain, range, and asymptote of h(x) = 6x – 4?

A
domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4
B
domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4
C
domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4
D
domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4
15

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4).

Question illustration
A
0
B
1
C
2
D
4
16

1.2, 3, 7.5, 18.75, ...

A
f(x) = 1.2(2.5)x – 1
B
f(x) = 2.5(1.2)x – 1
C
f(x) = 1.2(2.5)x
D
f(x) = 2.5(1.2)x
17

Which of the following describes the growth rate of the exponential function in the graph below?

Question illustration
A
For each x increase of 1, the y increases by a common difference of 3.
B
For each x increase of 1, the y increases by a common factor of 3.
C
For each x increase of 1, the y increases by 4 more than the previous increase.
D
For each x increase of 1, the y increases by doubling and then adding 1.
18

What is the range of f(x) = – 4?

Question illustration
A
{y | y > –4}
B
Left-brace y vertical line y greater-than three-fourths right-brace
Option B
C
{y | y < –4}
D
Left-brace y vertical line y less-than three-fourths right-brace
Option D
19

For what value of x does ?

Question illustration
A
–9
B
–3
C
3
D
9
20

Which is a stretch of an exponential decay function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D

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