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Answer the following questions for the function f x 4x12x 180x 14 C Enter f...

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Basic Math

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Answer the following questions for the function f x 4x12x 180x 14 C Enter f x f x and f x into your grapher to examine the table b The formula for the first derivative f x can be factored Set f x 0 to find the two critical numbers Hint You can factor out 12 from all terms in the formula for f x You can also scroll the table function on your calculator The critical values are x 5 3 Use a comma to separate answers as needed c Use your table to complete the following At the negative critical value listed in part b what does your table tell you about the value of the second derivative f 5 96 Type integers or simplified fractions Consequently what can be concluded about the graph of f Select the correct choice below and if necessary fill in the answer boxes within your choice OA The graph of f is concave down and f has a relative maximum at OB The graph of f is concave down and f has a relative minimum at OC The graph of f is concave up and f has a relative maximum at OD The graph of f is concave up and f has a relative minimum at OE No conclusion can be made

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