In mathematics, a monotonic function is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.
How do you find if a function is increasing or decreasing?
How can we tell if a function is increasing or decreasing?
- If f′(x)>0 on an open interval, then f is increasing on the interval.
- If f′(x)<0 on an open interval, then f is decreasing on the interval.
What is an example of increasing function?
If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. ... Example 1: For f(x) = x 4 − 8 x 2 determine all intervals where f is increasing or decreasing.
