Absolute value & piecewise functions

As we saw previously, functions are a kind of relationship that does not have to be expressed as an equation. Today, we will introduce one way in which functions can be defined that does not follow the pattern of everything we've seen up to this point: Piece-wise functions.

These may seem complicated at first glance, but we will go through all of their components, and even start with a simple function (the absolute value function) to comprehend why we should care.

- Graphs of absolute value functions

- Piecewise functions

We will cover what an absolute value function is, traits of a absolute value function, equations, and how to transform (move) an absolute value function. We will also do the same for piecewise functions (a.k.a. step/staircase functions). We will also work to evaluate piecewise functions. I recommend bringing graph paper, pencil, and an eraser to solve problems and take notes.