AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Base e

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1
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The range of which function is ?

Question illustration
A
y = 2x
B
y = 2(5x)
C
y = 5x +2
D
y = 5x + 2
2
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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. After c years, Calvin has $658.80. Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. After m years, Makayla has $613.04. What is the approximate difference in the number of years that Calvin and Makayla have their money invested?

A
Makayla invests her money 1 year longer.
B
Makayla invests her money 2 years longer.
C
Calvin invests his money 1 year longer.
D
Calvin invests his money 2 years longer.
3

For what value of n does ?

Question illustration
A
–3
B
Negative three-halves
Option B
C
Three-halves
Option C
D
3
4

Which of the following shows the graph of y = 4x + 3?

A
On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1.
Option A
B
On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2.
Option B
C
On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1.
Option C
D
On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.
Option D
5

If , what is the value of s?

Question illustration
A
–1
B
0
C
1
D
no solution
6

Which equation is represented by the graph below?

Question illustration
A
y = l n x minus 3
Option A
B
y = l n x minus 4
Option B
C
y = e Superscript x Baseline minus 3
Option C
D
y = e Superscript x Baseline minus 4
Option D
7

What is the domain of ?

Question illustration
A
all real numbers less than –3
B
all real numbers greater than –3
C
all real numbers less than 3
D
all real numbers greater than 3
8

An equation for the depreciation of a car is given by y = A(1 – r)t , where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The value of a car is half what it originally cost. The rate of depreciation is 10%. Approximately how old is the car?

A
3.3 years
B
5.0 years
C
5.6 years
D
6.6 years
9

What is the range of the function

Question illustration
A
all real numbers less than –1
B
all real numbers greater than –1
C
all real numbers less than 1
D
all real numbers greater than 1
10

What is the approximate value of ?

Question illustration
A
0.233
B
0.557
C
0.620
D
1.796
11

If the equation below is solved by graphing, which statement is true?

Question illustration
A
The curves intersect at approximately x = 0.46.
B
The curves intersect at approximately x = 0.75.
C
The curves intersect at approximately x = 1.11.
D
The curves intersect at approximately x = 3.07.
12

Which is the graph of ?

Question illustration
A
On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.
Option A
B
On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.
Option B
C
On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.
Option C
D
On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.
Option D
13

What is the solution of log2 (3x - 7) = 3?

A
One-third
Option A
B
4
C
5
D
Sixteen-thirds
Option D
14

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

Question illustration
A
–1.5
B
–0.5
C
1.5
D
3.6
15

What is the true solution to the equation below?

Question illustration
A
x = 2
Option A
B
x = 4
Option B
C
x = 8
Option C
D
x = 64
Option D
16

What is the range of the function

Question illustration
A
y less-than 0
Option A
B
y greater-than 0
Option B
C
y less-than 4
Option C
D
y greater-than 4
Option D
17

Which function is shown in the graph below?

Question illustration
A
y = (one-half) Superscript x + 3 Baseline minus 1
Option A
B
y = (one-half) Superscript x minus 3 Baseline + 1
Option B
C
y = (one-half) Superscript x minus 1 Baseline + 3
Option C
D
y = (one-half) Superscript x + 1 Baseline minus 3
Option D
18

The height of a plant over time is shown in the table below. Using a logarithmic model, what is the best estimate for the age of the plant when it is 19 inches tall?Plant Heightt, time in monthsh, height in inches118218.21318.33418.42518.48618.54

A
10 months
B
14 months
C
16 months
D
28 months
19

Which graph represents an exponential decay function?

A
On a coordinate plane, a curve opens up and to the right in quadrant 4.
Option A
B
On a coordinate plane, a curve opens up and to the right in quadrants 1 and 2. The line rapidly decreases in quadrant 2 and then curves and approaches the x-axis in quadrant 1.
Option B
C
On a coordinate plane, a line slightly curves up in quadrant 1.
Option C
D
On a coordinate plane, a line slowly increases in quadrant 2 and then increases rapidly into quadrant 1.
Option D
20

For what value of x does ?

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

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