5. For the function ?(?)=−3?^4 −12?^3 Find the domain and intercepts. Find the critical numbers, intervals where f...

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5. For the function ?(?)=−3?^4−12?^3

  1. Find the domain and intercepts.

  1. Find the critical numbers, intervals where f (x) is increasingand decreasing, and any local maximum and local minimum points(find both coordinates).

  1. Find the intervals where f (x) is concave up and concave downand any inflection points (find both coordinates).

  1. Use this information to sketch the graph of f (x).

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