9514 1404 393
Answer:
(x, y) = (7, -48)
Step-by-step explanation:
A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.
The slope is zero were f'(x) = 0.
f'(x) = 2x -14
0 = 2x -14
0 = x -7
7 = x
f(7) = 49 -98 +1 = -48
The critical point is (7, -48).
