Piecewise Functions

Piecewise functions are just like they sound, pieces. These functions are made up of multiple equations being used at different x-values. For our assessment, we will need to know how to read, write, and interpret piecewise functions. Here are some videos to help.

Writing Piecewise Functions

Writing Absolute Value Functions

Next we have a special type of piecewise function called an Absolute Value Function. You may have an idea of what absolute value symbols do already, but when they are used in a functions, they do some strange things to the graphs. These functions will resemble a V-shape. Here is how we write them as a piecewise function.

Inverse Functions

When we hear the word inverse. We should think of opposite. How do we find the opposite of a function? We flip the x and y and then solve for y. Not too bad, but we have to be good with our algebra skills. I've split this into 3 sections. One for tables, one for equations, and one for graphs.

Inverse Functions when given an Equation

This one is a little bit tougher. You will need to be good at your algebra skills. For this we are going to change the places of x and y. So if we had y = 3x, it will now be x = 3y. After the switch, we need to solve for y (get it by itself).

Extra Practice

Khan Academy has some great practice problems for you on this one. USe these resources! They also have more videos.