[Steps Shown] If f(x)=1 / 3 x^3-x^2-3 x+4 : When is f(x) increasing? When is f(x) decreasing? At what points in the coordinate plane does f(x) attain its


Question: If \(f(x)=1 / 3 x^{3}-x^{2}-3 x+4\) :

  1. When is \(\mathrm{f}(\mathrm{x})\) increasing? When is \(\mathrm{f}(\mathrm{x})\) decreasing?
  2. At what points in the coordinate plane does \(f(x)\) attain its maximum and minimum values?
  3. When is \(f(x)\) concave up? When is \(f(x)\) concave down?
  4. If \(\mathrm{f}(\mathrm{x})\) has inflection points, what are they? Remember to give the answer as a point in the coordinate plane.

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