Key Attributes of Logarithmic Graphs

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

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

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Which graph matches the equation

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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)

Graph

• A

• B

• C

• D

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Describe the graph of f(x) = log₉ x transformed to f(x) = log₉(-x + 1) - 5

• Reflection about the y-axis; shift right 1 and 5 down

• Reflection about the y-axis; shift left 1 and 5 down

• Reflection about the x-axis; shift right 1 and 5 units down

• Reflection about the x-axis; shift left 1 and 5 units down