Asked by Anonymous

The graph of the function f is shown below with domain [-12, 10]. Let g(x)=integral[-12,x] f(t)dt.

desmos calculator code: calculator/jycetemxr2 (add desmos url)

A. Evaluate g(0), g'(0), and g''(0).

B. Find all possible values of x such that g(x) = 0. Justify your answer.

C. Determine where the graph of g(x) has horizontal tangent lines, if anywhere. Justify your answer.

Answers

Answered by Anonymous
If you can't get to the graph, the points are (-12, 5), (-10, 5), (0, -5), (2, -5), (6, 5), and (10, 5). These points are connected with straight lines only, in order.
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