example of increasing/decreasing/monotone function

The functionMathworldPlanetmath f(x)=ex is strictly increasingPlanetmathPlanetmath and hence strictly monotone. Similarly g(x)=e-x is strictly decreasing and hence strictly monotone. Consider the function h:[1,10][1,5] where h(x)=x-4x-1+3+x-6x-1+8. It is not strictly monotone since it is constant on an interval, however it is decreasing and hence monotoneMathworldPlanetmath.

Title example of increasing/decreasing/monotone function
Canonical name ExampleOfIncreasingdecreasingmonotoneFunction
Date of creation 2013-03-22 13:36:08
Last modified on 2013-03-22 13:36:08
Owner Johan (1032)
Last modified by Johan (1032)
Numerical id 4
Author Johan (1032)
Entry type Example
Classification msc 26A06