AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Solving Exponential Equations by Rewriting the Base

Evaluating Logarithmic Expressions Answers

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The function is translated 1 unit right and 2 units down. Which is the graph of the translated function?

Question illustration
A
On a coordinate plane, a curve starts at (negative 1, negative 5) and curves up into quadrant 1. It approaches y = 1.
Option A
B
On a coordinate plane, a curve starts at (1, negative 4) and curves upwards. It approaches y = negative 1.
Option B
C
On a coordinate plane, a curve starts at (negative 1, negative 1) and curves up into quadrant 1. It approaches y = 5.
Option C
D
On a coordinate plane, a curve starts at (1, negative 3) and curves up into quadrant 1. It approaches y = 5.
Option D
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 = 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
4

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
5

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
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
8

Which function is shown in the graph below?

Question illustration
A
y = log Subscript 0.4 Baseline x
Option A
B
y = log Subscript 1 Baseline x
Option B
C
y = log Subscript 3 Baseline x
Option C
D
y = log Subscript 10 Baseline x
Option D
9

Which statement is true?

A
The graph of is the graph of translated 4 units down.
Option A
B
The graph of is the graph of translated 4 units left.
Option B
C
The graph of is the graph of translated 4 units up.
Option C
D
The graph of is the graph of translated 4 units right.
Option D

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