Use a Graphing Utility to Graph the Function Over the Indicated

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
- $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 , ( - 1,3 )$

A) local maximum at (2, -3)
local minimum at (0, 1)
increasing on (-1, 0)
decreasing on (0, 2)
B) local maximum at (0, 1)
local minimum at (2, -3)
increasing on (-1, 0) and (2, 3)
decreasing on (0, 2)
C) local maximum at (2, -3)
local minimum at (0, 1)
increasing on (-1, 0) and (2, 3)
decreasing on (0, 2)
D) local maximum at (0, 1)
local minimum at (2, -3)
increasing on (0, 2)
decreasing on (-1, 0) and (2, 3)

Correct Answer:

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