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03-06-2023
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The function f (x ) = 0.556x³ +16.633x² − 102.232x + 658.981 approximates the number of construction workers employed in a certain state. Find the location of all local extremes.
(Select the correct answer below and, if necessary, fill any answer blank(s) within your answer. Round to the nearest tenth as needed. Use a comma to separate answers as needed.)
A. The function has local maximums (has a local maximum) at approximately x = ___, and has local minimums (has a local minimum) at approximately x = _.
B. The function has no local maximums and has local minimums (has a local minimum) at approximately x = _.
C. The function has no local minimums and has local maximums (has a local maximum) at approximately x = ___.
D. The function has no local extremum.

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