Using the graph, determine any relative maxima or minima of the function and the intervals on which the function is increasing or decreasing. Round to three decimal places when necessary.f(x) = x3 - 3x2 + 1

A. relative maximum: 1 at x = 0; relative minimum: -3 at x = 2; increasing   decreasing 
B. relative maximum: 1 at x = 0; no relative minima; increasing   
C. relative maximum: -3 at x = 2; relative minimum: 1 at x = 0; increasing (0, 2); decreasing  
D. no relative maxima; relative minimum: -3 at x = 2; increasing   


Answer: A

Mathematics

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