Category:Examples of Inverse of Strictly Monotone Continuous Real Function is Strictly Monotone and Continuous

This category contains examples of use of Inverse of Strictly Monotone Continuous Real Function is Strictly Monotone and Continuous.

Let $f$ be a continuous real function which is defined on the closed interval $I := \closedint a b$.

Let $f$ be strictly monotone on $I$.

Then $f$ has an inverse function $f^{-1}$ which is continuous and strictly monotone on $f \sqbrk I$.