Answers to the Extended Problems are below in random order.
\(x-1\)
\(f(x) = \begin{cases} -2 &\ \text{if}\ \ x \le -2 \\ 2x +2 & \ \text{if}\ \ x>2 \\ \end{cases}\)
\(f(x) = \begin{cases} -x &\ \text{if}\ \ x \le 0 \\ 3x & \ \text{if}\ \ x>0 \\ \end{cases}\)
\(f(x) = \begin{cases} 5 &\ \text{if}\ \ x \le 5 \\ 2x -5 & \ \text{if}\ \ x>5 \\ \end{cases}\)
\(x-1\)
\(f(x) = \begin{cases} -2 &\ \text{if}\ \ x \le -2 \\ 2x +2 & \ \text{if}\ \ x>2 \\ \end{cases}\)
\(f(x) = \begin{cases} -x &\ \text{if}\ \ x \le 0 \\ 3x & \ \text{if}\ \ x>0 \\ \end{cases}\)
\(f(x) = \begin{cases} 5 &\ \text{if}\ \ x \le 5 \\ 2x -5 & \ \text{if}\ \ x>5 \\ \end{cases}\)