AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Equations — Unit test Answers

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1
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What is the range of the function f(x) = –2(6x) + 3?

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Option A
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Option D
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Complete the table for the following functiony = 3xx-3-2-10123y 1/313 Graph the function and describe what the graph looks like.

A
Increases in Quadrant III
B
Increases from left to right
C
Decreases from left to right
D
Decreases in Quadrant II
3

xy-224-116.8011.761 25.7624Then select the graph that best fits the equation.Graph AGraph B

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A
8.232, Graph A
B
8.756, Graph B
C
9.213, Graph A
D
-8.232, Graph B
4

What is the true solution to the logarithmic equation?

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mc026-2.jpg
Option A
B
mc026-3.jpg
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mc026-4.jpg
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mc026-5.jpg
Option D
5

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

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x = negative 8
Option A
B
x = 1
Option B
C
and
Option C
D
and
Option D
6

What are the solutions to

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A
x = negative 2 and x = negative 4
Option A
B
x = negative 1 and x = 8
Option B
C
x = 1 and x = negative 8
Option C
D
x = 2 and x = 4
Option D
7

Which function is shown in the graph below?

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Option A
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Option B
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Option
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Option
Option D
8

If $10,000 is invested at an interest rate of 3.5% each year, what is the value of the investment in 7 years? Write an exponential function and solve.

A
y = 10000(1.035)-7 ;$7859.91
B
y = 10000(1.035)7 ;$12,722.79
C
y = 10000(7)1.035 ;$74,933.58
D
y = 10000(.035)7 ;$64,339.30
9

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

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; x = 3
Option A
B
; x = 4
Option B
C
; x = 33
Option C
D
; x = 44
Option D
10

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

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A
x = negative 6
Option A
B
x = negative 4
Option B
C
x = negative 2
Option C
D
x = negative 1
Option D
11

xy-25-17.5011.251 2

A
7.55
B
-16.87525.3125
C
16.87525.3125
D
-16.875-25.3125
12

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

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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.

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