9 A. 2 f(x 2 0 Graph of f'(x) The graph above shows the derivative of a twice-differentiable function f. Selected values of f(x) are given in the table above. Let the twice-differentiable function gbe defined as g(x) = x . f(x) + ][f'()di ]. (a) Find g(3) and g'(3). (b) Evaluate lim 28(x) + 23 4x2 - 1 (c) Identify the x-value of any absolute extrema of gon [-1,5]. Label any extrema as absolute maxima or absolute minima. Show the work that leads to your conclusion. (d) Evaluate J g"(x) cos( 8'(x) + dx