Characteristics of Logarithmic Functions

Which function best describes the following graph?

• y = Log₂ X

• 2^x = y

• y = 1/(2x)

• (1/2)^x = y

Which equation is the inverse of the equation above?

• 
• 
• 
• 

Describe the end behavior of the function shown: y=log₂(x+1)

• 
• 
• 

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Which graph matches the equation

• 
• 
• 
• 

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Graph

• A

• B

• C

• D

Which of the following is the sketch of the graph of y = -log₃ (x+5) ?

• 
• 
• 
• 

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)