Definition:Monotone (Mapping Theory)/Real Function

Definition

This definition continues to hold when $S = T = \R$.

Thus, let $f$ be a real function.

Then $f$ is monotone iff it is either increasing or decreasing.

Notes

This can also be called monotonic.

Also see

• Strictly Monotone Function

Sources

• K.G. Binmore: Mathematical Analysis: A Straightforward Approach (1977)... (previous)... (next): $\S 12.1$