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given that f'(x)=-3x^2 -6x answer the following what inteeval is f(x) increasing or decreasinf find x...

given that f'(x)=-3x^2 -6x answer the following
what inteeval is f(x) increasing or decreasinf
find x coordinates of all inflection points of f(x)
on what interval is f(x) concave up and down
suppose (-2,0), (1,0) and (0,4) are intercepts of f(x) whose domain is all real. sketch a possible graph of f(x)
find f(x) by integrating f'(x) and intercept information from above
find all global extrema on interval [-1,5]

show work please and thanks in advance :)
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