AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Equations — Unit test Answers

15 verified answers1 views
1
Free Preview

What is the range of ?

Question illustration
a
all real numbers not equal to 0
a
all real numbers less than 6
a
all real number greater than 6
a
all real numbers
2
Free Preview

Which expression is equivalent to ?

Question illustration
A
log StartFraction 3 StartRoot x EndRoot (x cubed + 4) Over 2 EndFraction
Option A
B
log StartFraction 3 StartRoot x EndRoot (3 x + 4) Over 2 EndFraction
Option B
C
log StartFraction StartRoot 9 x (x cubed + 4) EndRoot Over 6 EndFraction
Option C
D
StartFraction StartRoot log 9 x ( x cubed + 4) EndRoot Over 6 EndFraction
Option D
3

Which of the following shows the extraneous solution to the logarithmic equation below?

Question illustration
A
x = negative 6
Option A
B
x = negative 4
Option B
C
x = negative 2
Option C
D
x = negative 1
Option D
4

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?

A
1.7 years
B
2.0 years
C
3.1 years
D
5.0 years
5

Which expression is equivalent to ?

Question illustration
A
log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x
Option A
B
log Subscript 2 Baseline x + 3 log Subscript 2 Baseline 9
Option B
C
3 log Subscript 2 Baseline x minus log Subscript 2 Baseline 9
Option C
D
3 log Subscript 2 Baseline 9 minus log Subscript 2 Baseline x
Option D
6

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

Question illustration
A
x = negative 8
Option A
B
x = 1
Option B
C
and
Option C
D
and
Option D
7

Which function has a horizontal asymptote of y = 3?

f
f(x) = 3(2x)
f
f(x) = 2(4)x–3
f
f(x) = 2(3x)
f
f(x) = 2(4x) + 3
8

What is the true solution to the logarithmic equation?

Question illustration
A
mc026-2.jpg
Option A
B
mc026-3.jpg
Option B
C
mc026-4.jpg
Option C
D
mc026-5.jpg
Option D
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 is the graph of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

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

Question illustration
T
Translate each point of the graph of g(x) 5 units up.
T
Translate each point of the graph of g(x) 5 units down.
T
Translate each point of the graph of g(x) 5 units left.
T
Translate each point of the graph of g(x) 5 units right.
12

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
13

Identify the equation that translates five units down.

Question illustration
A
y = l n (x minus 5)
Option A
B
y = l n (x) + 5
Option B
C
y = l n (x + 5)
Option C
D
y = l n (x) minus 5
Option D
14

What is the solution of ?

Question illustration
A
6
B
9
C
18
D
81
15

Which function is shown in the graph below?

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

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Modeling with Exponential and Logarithmic…