Question: Question 6. Consider the fourth degree polynomial function, f(x), grapbed below.(a) For what x-values is f'(x)=0?(b) Determine the open interval(s) over which f'(x)>0.(c) Determine the

Question 6. Consider the fourth degree polynomial function, f(x), grapbed below.(a) For what x-values is f'(x)=0?(b) Determine the open interval(s) over which f'(x)>0.(c) Determine the open interval(s) over which f'(x)<0.(d) At x=C is f''(C)>0 or f''(C)<0? Justify your answer.Question 7. The function f(x) has a continoous secoond derivative, and it satisfies f(1)=2,f'(1)=0, and f''(1)=4. Sletch a poesible graph for f(x) near x=1 on the asos provided below.

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