Evaluating Piecewise Functions:
Please explain your answer. Thank you.

Answer:
f(-1) is undefined.
Step-by-step explanation:
We are given:
[tex]f(x) = \left\{ \begin{array}{ll} -3x-11 & \quad x \leq -5\\ 2 & \quad x > 5 \end{array} \right.[/tex]
And we want to find f(-1).
The piecewise function only gives us values for x-values less than or equal to -5 or greater than 5.
Since -1 is fits neither of those conditions, it is not defined.
Our answer is undefined.