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Determine the intervals on which the function with equation y = x 3 + 6x 2 + 9x + 2 is increasing. Show your work.

  1. Determine the intervals on which the function with equationy = x3+ 6x2+ 9x + 2is increasing. Show your work.
  2. Determine the local maximum and local minimum points for the functionf(x) = 2x3+ 3x2- 12x + 3. Show your work
  3. The functionh(x) = x3+ bx2+ dhas a critical point at(2, -4). Determine the constantsbanddand find the equation ofh(x). Show your work.

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