The graph of the function f, shown below, consists of three line segments. Suppose g(x) is a function whose derivative is f.
Graph of
(a) Suppose y = x + 7 is the equation for the line tangent to the graph of g(x) at x = -3. Let h be the
function defined by h(x) = (g(x)) ?. Find 1'(-3),
h(x) = 19 Culo
h) = 2(%(-3)) • g'(-3)
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(b) Describe the shape of the graph of g(x) near x = 2
g(x) is decreasing near x=2,
(c) Give a piecewise function defined equation for g'(x).