AnswersAISD Algebra II B Credit Recovery 2026-2027Vertical Asymptotes of Rational Functions

Graphing Logarithmic Functions Answers

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1
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Sebastian used the table and correctly identified that the data does not represent a logarithmic function. 12044506What information did Sebastian use in his deduction?

Question illustration
A
The table does not show a vertical asymptote.
B
The table shows two y-intercepts and it changes from increasing to decreasing.
C
The table shows one x-intercept and one y-intercept.
D
The table shows two x-intercepts and it changes from increasing to decreasing.
2
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The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x > –2
B
x > 0
C
x < 2
D
all real numbers
3

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
4

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
5

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
6

Which is the graph of a logarithmic function?

A
On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.
Option A
B
On a coordinate plane, a straight line is shown.
Option B
C
On a coordinate plane, a hyperbola is shown.
Option C
D
On a coordinate plane, a parabola is shown.
Option D
7

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
8

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
9

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
10

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

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