2. The continuous function f is defined for [-4, 4].The graph of f, shown to the right, consists oftwo line segments and portions of threeparabolas. The graph has horizontal tangents atx = -(1)/(2), x = (1)/(2), and x = (5)/(2). It is known thatf(x) = -x^2 5x - 4 for [1, 4]. The areas ofregions A and B bounded by the graph of f andthe x-axis are 3 and 5, respectively. Let g bethe function defined by g(x) = ∫-4^x f(t) dt.a. Find g(1)b. Find the absolute minimum value of g on theclosed interval
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