Evaluating Logarithmic Expressions Answers

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Which of the following is a logarithmic function?

A
y = 0.25x
B
y = x Superscript 0.25
Option B
C
y = log Subscript 0.25 Baseline x
Option C
D
y = (0.25) Superscript x
Option D
3

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
4

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.
5

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
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 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
8

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
9

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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