Characteristics of Logarithmic Functions

What is the Range?

• y > 0
• All Real Numbers
• y > 1
• y < 1

What is the Domain?

• x > 0
• All Real Numbers
• x > 1
• x < 1

Which equation is the inverse of the equation above?

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Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Which function best describes the following graph?

• y = Log₂ X

• 2^x = y

• y = 1/(2x)

• (1/2)^x = y

What is the range of the function graphed?

• (-∞, ∞)

• (-∞, 2] and [2, ∞)

• [2, ∞)

• (-∞, 2]

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

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

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