3.2.14 Examples with Piecewise Monotonic Functions

 

Consider the absolute value function , which is a piecewise monotonic function. An example evaluation follows:

with

For any , the function is similar.

Consider the reciprocation function , which is a piecewise monotonically decreasing function. The function is an extension of the real function , :

Two example evaluations follow:

with

and:

with

The function is similar, for any .

Jeff Tupper

March 1996