Finding a logarithmic function given its graph

Lessons

• Introduction
  Introduction to finding logarithmic function given its graph

  i. What is a logarithmic function?

  ii. How can we determine the equation of a logarithmic graph?

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• 1.
  Determining the Equation of an Exponential Function Given Its Graph

  Determine an exponential function in the form $y = \log_{b} x$ with the given graph.

  

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• 2.
  Determining the Equation of a Transformed Logarithmic function given its Graph

  Determine a logarithmic function in the form $y = \log_{2} (x + b) + c$ for each of the given graphs.

  a)

  
  
  
  b)

  
  
  

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• 3.
  Determining the Equation of a Transformed Logarithmic function given its Graph - Continued

  Determine a logarithmic function in the form $y = A \log_{2} (Bx)$ for each of the given graphs.

  a)

  
  
  
  b)

  
  
  
  c)

  
  
  
  d)

  
  
  

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• 4.
  Determining the Equation of a Logarithmic Graph With Multiple Transformations

  Determine a logarithmic function in the form $y = A \log (Bx+1)+C$ for each of the given graphs.

  

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