The function f has continuous second derivatives, and a critical point at (-8, -7). Suppose frz(-8, -7) = -16, fr(-8,-7)=-8, f(-8,-7) =-4 Then the point (-8, -7): O A. is a local maximum O B. cannot be determined C. is a saddle point O D. is a local minimum O E. None of the above

1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What are the domain and range of the function? Write your answer in interval notation. b.) State the intervals on which the function increasing or decreasing. c.) Identify all relative extrema of g(x). d.) Find the average rate-of-change from x = -1 to x = 1.

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