Logarithmic Functions Features

What is the asymptote of y = log₂x ?

• y = 0

• x = 0

What is the asymptote of y = log₂(x - 3) ?

• y = 0

• y = 3

• x = 0

• x = 3

f(x)=log₅(x+4) - 2

Find the Domain and Range

• Domain: x ≥ -4

  Range: all real numbers

• Domain: all real numbers

  Range: y ≥ -4

• Domain: all real numbers

  Range: y > -4

• Domain: x > -4

  Range: all real numbers

Find the domain and range of:
f(x) = log₂(x)

• D: all real numbers
  R: y > 0

• Domain: all real numbers
  Range: all real numbers

• Domain: x > 0
  Range: all real numbers

• Domain: all real numbers
  Range: y < 0

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

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

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

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