Characteristics of Logarithmic Functions

5 Activities

Wize High School Algebra II Textbook (Common Core) > Logarithmic Functions

Characteristics of Logarithmic Functions

5 Activities

Practice: Characteristics of Logarithmic Functions
How are the graphs of y=log⁡3xy=\log_3xy=log3​x and y=log⁡127xy=\log_{\frac{1}{27}}xy=log271​​x related?

A) There is a vertical reflection about the x-axis and a vertical compression by a factor of 13\dfrac{1}{3}31​

B) There is a vertical reflection about the x-axis and a vertical expansion by a factor of 333.

C) There is a horizontal reflection about the y-axis and a horizontal expansion by a factor of 333.

D) There is a horizontal reflection about the y-axis and a horizontal compression by a factor of 13\dfrac{1}{3}31​.

I don't know

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Determine how y=log⁡18xy=\log_{\frac{1}{8}}{x}y=log81​​x relates to y=log⁡2xy=\log_2{x}y=log2​x. 

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Create a logarithmic equation for the following graph:

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
How are the graphs of y=log⁡2xy=\log_2xy=log2​x and y=log⁡4xy=\log_{4}xy=log4​x related?

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Sketch a graph of y=log⁡4xy=\log_4xy=log4​x. 

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Sketch a graph of y=log⁡7xy=\log_7xy=log7​x. 

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Determine how y=log⁡18xy=\log_{\frac{1}{8}}{x}y=log81​​x relates to y=log⁡2xy=\log_2{x}y=log2​x. 

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Create a logarithmic equation for the following graph:

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
How are the graphs of y=log⁡2xy=\log_2xy=log2​x and y=log⁡4xy=\log_{4}xy=log4​x related?

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Sketch a graph of y=log⁡4xy=\log_4xy=log4​x. 

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions
Sketch a graph of y=log⁡7xy=\log_7xy=log7​x. 

Characteristics of Logarithmic Functions

Related Topics

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Practice: Characteristics of Logarithmic Functions

More Characteristics of Logarithmic Functions Questions:

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

More Characteristics of Logarithmic Functions Questions:

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions

Characteristics of Logarithmic Functions