(Solved): 2. The graph of a piece-wise defined function \( f \) has been provided below. Graph the function ...

2. The graph of a piece-wise defined function \( f \) has been provided below. Graph the function \( g \), then evaluate the following limits. Be sure to support your responses with a limit statement using proper notation. Use the graphs to confirm your results. \[ g(x)=\left\{\begin{array}{cl} 2 & \text { if }-3 \leq x \leq-1 \\ x^{2} & \text { if }-1