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5-86.
  1. Algebraically determine where g(x) below is increasing, decreasing, concave up, and concave down. Homework Help ✎

    g(x) = x3 − 2x2 + x − 1

The function f(x) is increasing when f '(x) > 0, and it is decreasing when f '(x) < 0.
The function is concave up when f ''(x) > 0, and it is concave down when f ''(x) < 0.