AnswersAA - F26 Advanced AlgebraUnit Test

Unit Test — Unit test Answers

39 verified answers3 views
41
Free Preview

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
42
Free Preview

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
43

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
44

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 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

Question illustration
A
8
B
9
C
19
D
80
45

If , what is the value of s?

Question illustration
A
–1
B
0
C
1
D
no solution
46

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
47

Which of the following is true about the base b of a logarithmic function?

A
b > 0 and b = 1
B
b > 0 and
Option B
C
b < 0 and
Option C
D
b < 0 and b = 1
48

For what value of b does ?

Question illustration
A
Negative one-half
Option A
B
Negative one-fourth
Option B
C
One-fourth
Option C
D
no solution
49

Which equation is equivalent to ?

Question illustration
A
3 Superscript x Baseline = 3 Superscript negative 3 x + 2
Option A
B
3 Superscript x Baseline = 3 Superscript 3 x + 6
Option B
C
3 Superscript negative x Baseline = 3 Superscript 3 x + 2
Option C
D
3 Superscript negative x Baseline = 3 Superscript 3 x + 6
Option D
50

Which function is graphed below?

Question illustration
A
y = one-third (3) Superscript x
Option A
B
y = 3 (one-third) Superscript x
Option B
C
y = (one-half) Superscript x Baseline + 2
Option C
D
y = (2) Superscript x Baseline minus 1
Option D
51

Which table represents an exponential function of the form when ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
52

For what value of a does ?

Question illustration
A
–4
B
–2
C
2
D
6
53

Which of the following is the inverse of ?

Question illustration
A
y = StartFraction 1 Over 3 Superscript x Baseline EndFraction
Option A
B
y = log Subscript 3 Baseline x
Option B
C
y = (one-third) Superscript x
Option C
D
y = log Subscript one-third x
Option D
54

Which equation is equivalent to ?

Question illustration
A
2 Superscript x Baseline = 36
Option A
B
x squared = 36
Option B
C
36 Superscript x Baseline = 2
Option C
D
x squared = 36 squared
Option D
55

extraneous

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
56

What is the range of ?

Question illustration
all real numbers not equal to 0
Option
all real numbers less than 6
Option
all real number greater than 6
Option
all real numbers
Option
57

Which geometric series diverges?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
58

Which of the following shows the true solution to the logarithmic equation solved below?

Question illustration
A
Option
Option A
B
Option
Option B
and
Option
Option and
and
Option
Option and
59

If , what is the value of x?

Question illustration
A
Option
Option A
B
Option
Option B
2
Option
8
Option
60

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isotope B does this in 43 days. What is the approximate difference in the half-lives of the isotopes?

3 days
Option
10 days
Option
13 days
Option
33 days
Option

Did you find these answers helpful?

More from this Course

Quiz
25 verified answers

Unit Test

Quiz
25 verified answers

Unit Test

Instruction
7 verified answers

Instruction