Question

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

Answer 1

Answer:

f(-1) is undefined.

Step-by-step explanation:

We are given:

$f(x) = \left\{ \begin{array}{ll} -3x-11 & \quad x \leq -5\\ 2 & \quad x > 5 \end{array} \right.$

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.