Find \( f(-2) \) for the piece-wise function. \( f(x)=\left\{\begin{aligned}-2 x+1 & \text { if } x \leq-1 \\ 3 x-4 & \text { if } x>-1\end{aligned}\right. \) \( f(-2)=[?] \)

To find \( f(-2) \), we first determine which piece of the piece-wise function applies when \( x = -2 \). Since \( -2 \leq -1 \), we will use the first piece of the function: \[ f(x) = -2x + 1 \] Now, substituting \( -2 \) into the equation: \[ f(-2) = -2(-2) + 1 \] \[ = 4 + 1 \] \[ = 5 \] So, \( f(-2) = 5 \).