1. Absolute Value and Step Functions (2.4.2)
October 20th, 2016

2. The Absolute Value Function
*Has general form
*Has a domain of all real numbers.
*The absolute value itself makes all quantities positive.
*Faces upward if the value of ‘a’ is positive, downward if ‘a’ is negative.

3. Ex. 1: Graph each of the following functions by creating a table of values.

4. The Greatest Integer Function (or the Floor Function)
*Is a type of step function, meaning the graph is a series of disconnected constant functions that make “steps”.
*Has a domain of all real numbers.
*The greatest integer operation, which looks like
, rounds each quantity down to the greatest integer less than or equal to x.

5. The Least Integer Function (or the Ceiling Function)
*Is a type of step function.
*Has a domain of all real numbers.
*The least integer operation, which looks like
, rounds each quantity up to the smallest integer greater than or equal to x.

6. Ex. 2: Graph by making a table of values.