AnswersDHS Algebra 2 VGeometric Series

Geometric Series — Unit test Answers

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1
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If , what is the value of x?

Question illustration
A
–3
B
–2
C
2
D
3
2
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The two expressions below have the same value when rounded to the nearest hundredth.What is the approximate value of to the nearest hundredth?

Question illustration
A
0.93
B
1.23
C
9.16
D
65.53
3

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
4

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
5

A student showed the steps below while solving the equation by graphing.Step 1:Write a system of equations: Step 2: Use the change of base formula to rewrite the equations:Step 3:Graph the two equations:Step 4:Identify the x-value at the point of intersection:In which step did the student make the first error?

Question illustration
A
step 1
B
step 2
C
step 3
D
step 4
6

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
7

What is rewritten using the power property?

Question illustration
A
e log Subscript 6 Baseline f
Option A
B
f log Subscript 6 Baseline e
Option B
C
log Subscript 6 Baseline (e times f)
Option C
D
log Subscript 6 Baseline (e + f)
Option D
8

Which is the graph of ?

Question illustration
A
On a coordinate plane, a curve starts at (2, 0) and curves up and goes through (3, 3) and (9, 5).
Option A
B
Option
Option B
C
Option
Option C
D
On a coordinate plane, a curve starts at (2, 6) and curves down and goes through (3, 3) and (10, 2).
Option D
9

What is the solution of Round your answer to the nearest hundredth.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which equation has x = 4 as the solution?

A
log Subscript 4 Baseline (3 x + 4) = 2
Option A
B
log Subscript 3 Baseline (2 x minus 5) = 2
Option B
C
log Subscript x Baseline 64 = 4
Option C
D
log Subscript x Baseline 16 = 4
Option D
11

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
12

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
13

What is the solution to

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

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

Question illustration
A
Translate each point of the graph of g(x) 5 units up.
B
Translate each point of the graph of g(x) 5 units down.
C
Translate each point of the graph of g(x) 5 units left.
D
Translate each point of the graph of g(x) 5 units right.

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