Definition:Strictly Increasing/Real Function

Definition

Thus, let $f$ be a real function.

Then $f$ is strictly increasing iff:

$x < y \iff f \left({x}\right) < f \left({y}\right)$

Also see

• Increasing Function
• Strictly Decreasing Function
• Strictly Monotone Function

Sources

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