C is your answer; ) hope it helps
The Lagrangian is

It has critical points where the first order derivatives vanish:



From the first two equations we get

Then

At these critical points, we have
(maximum)
(minimum)
a discrete graph (I had to look this one up)
Answer:
-3
Step-by-step explanation:
A = midpoint
-17 + 5 = -12
-12/2 = -6 = A
-6 + 0 = -6
-6/2 = -3 = B