I have the answer, but how would I solve it step-by-step? Thank you.

43. Consider the function f (x) = -x3 - 4 on the interval [-7, 6]. Find the absolute extrema for the function on the given interval. Express your answer as an ordered pair (x, f (x) ). A) Absolute Maximum: (6, -220); Absolute Minimum: (-7,339) B) Absolute Maximum: (-7,339); Absolute Minimum: (0, -4) C) Absolute Maximum: (0, -4); Absolute Minimum: (-7,339) D ) Absolute Maximum: (-7,339); Absolute Minimum: (6, -220)