(-1,0) (-2, -1) (0,2) (2.3) (3,0) (4,-1) 2. The graph of shown above is a piece-wise...

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(-1,0) (-2, -1) (0,2) (2.3) (3,0) (4,-1) 2. The graph of shown above is a piece-wise continuous function defined on [-2,4]. The graph of f consists of 5 line a. Find g (2). b. Find g'(2). segments. Let g be the function given by g(x) = 5 + (1) dt . c. Find g" (2). d. Find g"(1). e. Write an equation for the line tangent to g when x = -1. f. Find any points of inflection for g. Justify your answer. g. For what values in the open interval (-2,4) is g increasing? Justify your answer. h. For what values in the open interval (-2,4) is g concave up? Justify your answer. 10 8 CO 6 4 2+ -2 -1 2 3 -2 i. Sketch g on the axes at the right. j. Write a piece-wise defined function for g(x) on the closed interval [-1,3]. T (-1,0) (-2, -1) (0,2) (2.3) (3,0) (4,-1) 2. The graph of shown above is a piece-wise continuous function defined on [-2,4]. The graph of f consists of 5 line a. Find g (2). b. Find g'(2). segments. Let g be the function given by g(x) = 5 + (1) dt . c. Find g" (2). d. Find g"(1). e. Write an equation for the line tangent to g when x = -1. f. Find any points of inflection for g. Justify your answer. g. For what values in the open interval (-2,4) is g increasing? Justify your answer. h. For what values in the open interval (-2,4) is g concave up? Justify your answer. 10 8 CO 6 4 2+ -2 -1 2 3 -2 i. Sketch g on the axes at the right. j. Write a piece-wise defined function for g(x) on the closed interval [-1,3]. T