ε-δ-Continuity

In this example, for a function \(f:\mathbb{R}\to\mathbb{R}\), the \(\epsilon-\delta-\)criterion of continuity can be can be illustrated. The function \(f\) is given as a function of \(x\). \\epsilon\) and \(\delta\) can be set independently of each other using the sliders.
If the criterion is met, the box turns green, otherwise it turns red.