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Answer the questions for the function f x a Find formulas for f x and...

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Basic Math

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Answer the questions for the function f x a Find formulas for f x and f x f x 9x 6x 1 1 x 18x 6 Enter f x f x and f x into your grapher to examine the table b Set the first derivative f x 0 to find any critical values Tip You may wish to graph f x by itself to explore if it has any zeros It can be helpful to know that the formula of f x factors Select t correct choice below and if necessary fill in the answer boxes within your choice A The function f has a critical number at x B at this critical number the second derivative f x 0 Type an exact answer OB There are no critical numbers c What conclusion can be made from your answer to part b Select the correct choice below and if necessary fill in the answer box within your choice OA At the critical number x the function f is concave down and corresponds to a relative minimum of f x B At the critical number x the function f is concave down and corresponds to a relative maximum of f x OC At the critical number x the function f is concave up and corresponds to a relative maximum of f x D At the critical number x the function f is concave up and corresponds to a relative minimum of f x OE No conclusion can be made using the second derivative test at this critical number

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