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Inquiry Question:
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Notes:
What is an inverse? What is an inverse function?
Finding an Inverse Function:
Example: Find the inverse of the function Steps:
http://mathbits.com/MathBits/StudentResources/GraphPaper/10x10.gif
Example 2: Find the inverse of Sketch:
What is the inverse of an Exponential Function?
Finding the inverse of an Exponential Function.
http://mathbits.com/MathBits/StudentResources/GraphPaper/10x10.gif
Example: Find the inverse of the function Sketch:
Key Features of a Logarithmic Function:
Example 2: Find the inverse of the following functions. Then determine any key features of the inverse.
Application:
The population of bacteria cells is increasing by 4.7% in a petri dish. The petri dish started with 60
bacteria cells. Determine an exponential model and it’s inverse.
Finding the Inverse of Logarithmic Function (Strike that, Reverse it)
Examples: Determine the inverse of the following Logarithmic Functions.
Together: You Try:
1. 2.
3. 4.
Challenge: Determine the inverse of the following logarithmic function, then check your answer by
finding the inverse of your inverse.
4.
5.