Hi guys! My name is Julan without an I!:)
So today we reviewed the previous topics that we have learned and learned new topics as well. The major topic that we learned today was Inverse of a Function and Restricted Domain. This is a simple definition of how it works... you basically want the inverse of the function f(x)to be a function as well.(given that trhe inverse is not a function already)

This is a picture of how the graph would look like...

                                         Inverse of a fuction and restrained domain ex. #1

For this question first it asked us to graph the function f(x).
Step one: find the x and y-values of f(x)=x^2-2. Those coordinates would be (-2,2),(-1,-1),(0,-2),(1,-1),(2,2) once you have this you can now graph the function.

Step two: graph the inverse of f(x). I hope we all know that all we have to do to get the inverse is to switch the x and y-values. The coordinates would then be (2,-2),(-1,-1),(-2,0),(-1,1),(2,2) now graph the inverse of f(x) using these coordinates.

Step three: describe how the domain of f(x)could be restricted so that the inverse of f(x) is a function. First make sure that you know your domain and range for both f(x) and its inverse. For this graph you would describe it as: By restricting domain of f(x) to {x/x>0,xEr} our inverse will become a function.


These are some of the other work we did in class and some selfies to keep the trend going! :)

 

 

inverse of a function and restrained domain examples

 

                                          selfie with my camera shy friend Manpreet :D

Raphael doing work!

The BEST class in Maples!

 

 

For those that missed class because of the blood donor thingy, I suggest that you go and see Mr.P to catch up on what you have missed.

 

I hope you guys have a good night!