Graphing Logarithmic Functions Answers

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1
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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
2
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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.
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
6

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
8

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

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