1. Visualization

2. Formulae
2.1. In
\[ f(t) = t^5\]
2.2. Out
\[ f(t) = 1-(1-t)^5\]
2.3. In-Out
\[ f(t) =
\left\{
\begin{array}{lr}
16 t^5 & t \leq 0.5 \\
1 - \frac{(-2t+2)^5}{2} & t > 0.5 \\
\end{array}
\right.\]