math (ASAP)

( Inquiry Question: )

Notes:

What is an inverse? What is an inverse function?

Finding an Inverse Function:

Example: Find the inverse of the function Steps:

Example 2: Find the inverse of Sketch:

What is the inverse of an Exponential Function?

Finding the inverse of an Exponential Function.

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.