Graphing Logarithmic Functions Answers

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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
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
4

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
5

Which of the following is a logarithmic function?

A
y = log Subscript 3 Baseline x
Option A
B
y = 3 Superscript x
Option B
C
y = x + 3
D
y = x cubed
Option D
6

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
7

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
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

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
10

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

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