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decreasing function

[decreasing function|decreasing function] is a function where the slope is negative on an open interval.

Definition

decreasing function is a function where the slope is negative on an open interval. For any two input values a and b in the given interval where b > a, f(b) < f(a).

Mechanism

decreasing function A decreasing function has a negative average rate of change. The average rate of change of an increasing function is positive. [link] shows examples of increasing and decreasing intervals on a function.

Examples

decreasing function has a negative average rate of change. The link shows examples of decreasing intervals on a function.