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" 8 (x ) = jf(1 ) di 0 UI Q A (a) Find the following: g(0), g(1), g(2), and g(4) W N ( b ) Find g' (x) w (c) Find g' (1) and g' (3) graph of f (d) Find the equation of the tangent line to the graph of g at x = 3. Use this equation to find an estimate for g(3.1) (e) Find the x-value(s) of the horizontal tangents to the graph of g [Yes, justify ] (f) Find any relative extrema of g [Yes, justify completely] g Find the absolute minimum value and the absolute maximum value of g for the interval [0, 4] (h) Find the x-values of any point(s) of inflection to the graph of g [Yes, justify completely ] 2) The following problem is the property of ETS College Board