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Answer the following questions for the function x f x 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 18 from all terms in the formula for f x The critical values are x Use a comma to separate answers as needed c At the negative critical value listed in part b what is the value of the second derivative 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 up and f has a relative minimum 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 down and f has a relative maximum at OE No conclusion can be made d At the positive critical value listed in part b what is the value of the second derivative 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 minimum at OB The graph of f is concave up and f has a relative maximum at 0 OC The graph of f is concave up and f has a relative minimum at OD The graph of f is concave down and f has a relative maximum at E No conclusion can be made e Set the formula for the second derivative f x 0 to find any possible inflection points f x 0 atx What can be concluded about the graph of f at this value of x Select the correct choice below and if necessary fill in the answer boxes within your choice OA There is a point of inflection at where the graph of f changes from concave down to concave up OB There is a point of inflection at where the graph off changes from concave up to concave down OC No conclusion can be made f Choose the graph of the function f x OA Q OB 1500 O C 4400

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