Definition 6.3.5: Monotone Function
A function f is monotone increasing on
(a, b) if f(x)
f(y) whenever
x < y
f(y) whenever
x < y
A function f is monotone decreasing on
(a, b) if f(x)
f(y) whenever
x < y
A function f is called monotone on (a, b) if it is either always monotone increasing or monotone decreasing.
Interactive Real Analysis
- part of