Definition: IncreasingOnTheIntervalI

Definition: Increasing on the Interval \(I\) (from OpenStax textbook)

We say a function \(f\) is increasing on the interval \(I\) if for all \(x_1\) and \(x_2\) in the interval, \(f(x_1) \leq f(x_2)\) when \(x_1 < x_2\).

Note: We say a function \(f\) is strictly increasing on the interval \(I\) if for all \(x_1\) and \(x_2\) in the interval, \(f(x_1) < f(x_2)\) when \(x_1 < x_2\).