A non-decreasing function is a type of function where the value of the function does not decrease as the input increases, meaning that for any two points x and y, if x ≤ y, then f(x) ≤ f(y). This property ensures that the function either stays constant or increases, making it useful in various mathematical analyses where monotonic behavior is required.

Non-decreasing Function

non-decreasing function

type of function

value of the function

input increases

two points

x and y

monotonic behavior

mathematical analyses

Property of functions

Function stays constant

Function increases

function does not decrease

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