Consider a signal, $y(t)$ defined as$,$

$y(t)=\{\begin{array}{cc}-t+2,& 0t1\\ t-1,& 1t2\\ -\frac{t}{3}+\frac{5}{3},& 2t5\\ 0,& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

The energy of the signal $y(t)$ is $E=3J.$

A periodic signal $z(t)$ is defined as$,$

$z(t)=\{\begin{array}{cc}y(t),& 0t6\\ y(t+6)& \text{f}\text{o}\text{r}\text{a}\text{l}\text{l}& t\end{array}$

The power of $w(t)=\frac{1}{2}z(2t)$