The domain of the absolute value function is the set of all real numbers. The range is the set of all real numbers greater than or equal to zero.

It is an even function and is decreasing on the interval from negative infinity to zero, and increasing on the interval from zero to positive infinity.

The graph intersects the x-axis and y-axis at (0,0).

Important anchor point coordinates are:
(-1,1) (0,0) and (1,1).


You can graph many variations of the absolute value function using transformations. Check out examples of vertical stretch and vertical compression.