Piecewise Functions

Question 1

What is the greatest integer function?

Answer 1

y = [[x]]. [[x]] is the largest integer less than x or is x if x is an integer.

Question 2

How do you solve absolute value problems?

Answer 2

Graph both sides and find the intersection or isolate the absolute value then set the other side equal to the positive or negative argument (the thing inside of the | |).