Unit Test — Unit test Answers

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Which function is shown in the graph below?

Question illustration
A
y = 2 Superscript x minus 2 Baseline + 3
Option A
B
y = 2 Superscript x + 2 Baseline + 3
Option B
C
y = 2 Superscript x minus 3 Baseline + 2
Option C
D
y = 2 Superscript x + 3 Baseline + 2
Option D
2
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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 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

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A
2
B
3
C
4.5
D
6.9
3

For what value of x does ?

Question illustration
A
1
B
2
C
4
D
5
4

What is the range of the function f(x) = –2(6x) + 3?

A
(negative infinity, negative 2 Right-bracket
Option A
B
(negative infinity, 3)
Option B
C
Left-bracket negative 2, infinity)
Option C
D
Left-bracket 3, infinity)
Option D
5

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.

Question illustration
A
5 years
B
7 years
C
19 years
D
22 years
6

Which of the following shows the graph of y = –(2)x – 1?

A
On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 0.5).
Option A
B
On a coordinate plane, a curve is level at y = negative 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).
Option B
C
On a coordinate plane, a curve is level at y = 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, 0).
Option C
D
On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).
Option D
7

For what values of x does ?

Question illustration
A
x = –3, x = 1
B
x = –1, x = 3
C
x = negative three-halves, x = 2
Option C
D
x = negative 2, x = three-halves
Option D
8

The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

Question illustration
A
15
B
32
C
320
D
737
9

A scientist writes the equation to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.

Question illustration
A
1 hour
B
6 hours
C
13 hours
D
15 hours
10

Which function has a horizontal asymptote of y = 3?

A
f(x) = 3(2x)
B
f(x) = 2(4)x–3
C
f(x) = 2(3x)
D
f(x) = 2(4x) + 3
11

If , what is the value of x?

Question illustration
A
–3
B
–2
C
2
D
3
12

If , what is the value of x?

Question illustration
A
Five-eighths
Option A
B
Eight-fifths
Option B
C
2
D
8
13

Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?

Question illustration
A
; x = 3
Option A
B
; x = 4
Option B
C
; x = 33
Option C
D
; x = 44
Option D
14

What is the range of ?

Question illustration
A
all real numbers not equal to 0
B
all real numbers less than 6
C
all real number greater than 6
D
all real numbers
15

What is the solution to

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D

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