AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Modeling with Exponential and Logarithmic Equations

Solving Logarithmic Equations using Technology Answers

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1
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What is the range of ?

Question illustration
A
all real numbers less than 0
B
all real numbers greater than 0
C
all real numbers not equal to 0
D
all real numbers
2
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Which is the graph of a logarithmic function?

A
On a coordinate plane, a hyperbola is shown.
Option A
B
On a coordinate plane, a straight line is shown.
Option B
C
On a coordinate plane, a parabola is shown.
Option C
D
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
Option D
3

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript 6 Baseline x
Option A
B
y = log Subscript x Baseline 6
Option B
C
y = log Subscript one-sixth Baseline x
Option C
D
y = log Subscript 6 Baseline 6 x
Option D
5

What are the domain and range of ?

Question illustration
A
domain: x > 0; range: all real numbers
B
domain: x < 0; range: all real numbers
C
domain: x > 5; range: y > 5
D
domain: x > 5; range: y > –5
6

Which statement is true?

A
is not a logarithmic function because the base is greater than 0.
Option A
B
is not a logarithmic function because the base is a square root.
Option B
C
is not a logarithmic function because the base is equal to 1.
Option C
D
is not a logarithmic function because the base is a fraction.
Option D
7

Which function is shown in the graph below?

Question illustration
A
y = log Subscript one-sixth Baseline x
Option A
B
y = log Subscript 0.5 Baseline x
Option B
C
y = log Subscript 1 Baseline x
Option C
D
y = log Subscript 6 Baseline x
Option D
8

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
9

What are the domain and range of ?

Question illustration
A
domain: x > –6; range: y > 4
B
domain: x > –6; range: all real numbers
C
domain: x > 6; range: y > –4
D
domain: x > 6; range: all real numbers
10

What is the domain of ?

Question illustration
A
all real numbers less than 0
B
all real numbers greater than 0
C
all real numbers not equal to 0
D
all real numbers

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