AnswersFL-1200330-Algebra 2 Sem 2 - FlexSolving Logarithmic Equations using Technology

Solving Logarithmic Equations using Technology — Unit test Answers

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For what value of x does ?

Question illustration
A
–9
B
–3
C
3
D
9
2
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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
3

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
4

What is the value of ?

Question illustration
A
–4
B
Negative one-fourth
Option B
C
One-fourth
Option C
D
4
5

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
6

What is the approximate value of ?

Question illustration
A
0.233
B
0.557
C
0.620
D
1.796
7

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
8

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
9

How does the value of compare with the value of ?

Question illustration
A
The value of is about 4 times the value of .
Option A
B
The value of is about times the value of .
Option B
C
The value of is about 3 times the value of .
Option C
D
The value of is about times the value of .
Option D
10

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
11

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
12

For what value of n does ?

Question illustration
A
–3
B
Negative three-halves
Option B
C
Three-halves
Option C
D
3
13

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
14

If you are given the graph of , how could you graph ?

Question illustration
A
Translate each point of the graph of h(x) 3 units up.
B
Translate each point of the graph of h(x) 3 units down.
C
Translate each point of the graph of h(x) 3 units right.
D
Translate each point of the graph of h(x) 3 units left.
15

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
16

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
17

For what value of n does ?

Question illustration
A
–3
B
Negative one-third
Option B
C
Five-ninths
Option C
D
1
18

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

A
One-third
Option A
B
4
C
5
D
Sixteen-thirds
Option D
19

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
20

If , what is the value of s?

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

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