Attributes and Transformations of Logarithmic Functions

Logarithmic functions are the inverse of...

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

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

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

What is an asymptote in the graph of a mathematical function?

• Always a horizontal line that a graph approaches but never touches.

• Always a vertical line that a graph approaches but never touches.

• Always a slanted line that a graph approaches but never touches.

• A horizontal, vertical, or slanted line that a graph approaches but never touches.

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Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

• Horizontal shift left 5 units

• Horizontal shift right 5 units

• Vertical shift up 5 units

• Vertical shift down 5 units

• Horizontal Shift to the right 9 units

• Horizontal shift to the left 9 units

• Vertical shift 9 units up

• Vertical shift 9 units down

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