Definition: DecreasingOnTheIntervalI

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

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

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