Greatest Integer and Signum Functions

Graphing Absolute values, Greatest Integer & Signum Functions
TS: Making decisions after reflection and review
Obj: Be able to graph each of the above kinds of functions with translations
Warm Up: Re­write each absolute value expression as a piece­wise
function. 1
Graph each of the below absolute value equations.
2
Graph the below function. It is known as the Signum Function or f(x) = sgn(x).
Now that we know what the graph of f(x) = sgn(x) looks like, graph the below signum functions using transformations.
3
Graph the below function. As you may recall from Algebra II it is called the Greatest Integer Function. 4
Now let's try some examples of graphing Greatest Integer Functions using transformations. 5