increasing function
[increasing function|increasing function] An increasing function on an open interval satisfies f(b) > f(a) for any a, b in the interval where b > a.
Definition
increasing function An increasing function on an open interval satisfies f(b) > f(a) for any a, b in the interval where b > a. The average rate of change for such a function is positive, contrasting with decreasing functions which have negative average rates.
Mechanism
increasing function An increasing function has a positive average rate of change. The slope of the function, represented by m in f(x) = mx + b, determines its increasing nature when m > 0. [link] provides examples of increasing and decreasing intervals.
Examples
increasing function For an increasing function , as with the train example, the output values increase as the input values increase.