Absolute Value Function

This is the Absolute Value Function:

f(x) = |x|

It is also sometimes written: abs(x)

This is its graph:

Absolute Value function
f(x) = |x|

It makes a right angle at (0,0)

It is an even function

 

Its Domain is the Real Numbers:Real Numbers

Its Range is the Non-Negative Real Numbers: [0, +∞)

Are you absolutely positive? Yes! Except when I am zero.

Piecewise

It is also a Piecewise Function:

Absolute Value function

Plot the graph here