We consider the graph off'(x), the derivative of a function f(x), pictured below.The graph above is the graph of the derivative f'(x), not the graph off(x).For each question below, select the correct answer (check only one box per question).(a)(4 points) Suppose x=-2.When x=-2,isf'(x) positive or negative?positivenegativeWhen x=-2,isf(x) increasing or decreasing?increasingdecreasing(b)(4 points) Suppose x=8.When x=8isf''(x) positive or negative?positivenegativeWhen x=8,isf(x) concave upor concave down?concave upconcave down(c)(3 points)Atx=-4.5, what happens on the graph off(x)?f(x)=-9.5f(x) has a relative maximum.f(x) has a relative minimum.f(x) has an inflection point.None of the above are true.(d)(3 points)Atx=2, what happens on the graph off(x)?f(x)=0f(x) has a relative maximum.f(x) has a relative minimum.f(x) has an inflection point.None of the above are true.