The function is $f(t-1) u_{2}(t)$, where $f(t)=2t$ and $u_{2}(t)$ is the Heaviside step function. The Heaviside step function is defined as follows:
$$
u_{2}(t) =
\begin{cases}
0 & \text{if } t < 2 \\
1 & \text{if } t \geq 2
\end{cases}
$$
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