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Question: #1 List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing as well as where

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#1 List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing as well as where it is concave up or concave down. What are the coordinates of the relative extrema? Find the inflection points. Determine the candidates for inflection points (solve for x). Sketch the graph using the information found above and plotting extra points as needed.

f(x) = - x3 + 6x2 14

#2 List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing as well as where it is concave up or concave down. What are the coordinates of the relative extrema? Find the inflection points. Determine the candidates for inflection points (solve for x). Sketch the graph using the information found above and plotting extra points as needed.

f(x) = -x3 + 6x2 - 12x + 7

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