Graphs of Natural Logarithms

Graph

• A

• B

• C

• D

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

Which graph matches the logarithmic equation

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Describe the transformation of y=ln(x) that would give the graph for y = ln(x+7)

• vertical translation 7 up

• vertical translation 7 down
  vertical stretch by a factor of 7

• horizontal translation 7 left

• horizontal translation 7 right

Graph

• A

• B

• C

• D

Which graph matches the equation

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

Graph ln (x +1)

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Which equation matches the graph

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Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

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