AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Graphing Logarithmic Functions

Graphing Logarithmic Functions Answers

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1
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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
2
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Which properties are present in a table that represents a logarithmic function in the form when ?I. The y-values are always increasing or always decreasing.II. The point (0, 1) exists in the table.III. The y-values will decrease rapidly as the x-values approach zero.IV. There will only be one x-value in the table with a y-value of zero.

Question illustration
A
I only
B
I and II only
C
I, III, and IV
D
II and III only
3

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
4

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
5

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
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 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
8

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
9

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
10

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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