1. **State the problem:** We have a piecewise function defined as: $$f(x) = \begin{cases} 3x & \text{if } x \neq 0 \\ 1 & \text{if } x = 0 \end{cases}$$ We need to find the values of $f(-1)$, $f(0)$, and $f(-1)$ again. 2. **Evaluate $f(-1)$:** Since $-1 \neq 0$, use the first case: $$f(-1) = 3 \times (-1) = -3$$ 3. **Evaluate $f(0)$:** Since $x=0$, use the second case: $$f(0) = 1$$ 4. **Evaluate $f(-1)$ again:** Same as step 2: $$f(-1) = -3$$ **Final answers:** $$f(-1) = -3, \quad f(0) = 1, \quad f(-1) = -3$$