Answer all questions with step by step explanations (clear pls)

\fFor exercises 4 and 5, use the Second Derivative Test to find the local extrema for the given function. Show your analysis and justify your reasoning. 4. 8 (x) =3x-x5+5 Daily Lessons and Assessments for AP* Calculus AB, A Complete Course Mark Sparks 2012 Page 333\fThe graph of f'(x), a polynomial function, is given. First, state what type of functions f (x) and f "(x) should be. Then, based on the graph of f'(x), sketch possible graphs of f (x) and f" (x). 8. 9 . f (x) f (x) f' (x ) vafive f "(x ) f "(x)