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13. For the function y=x* -18x +32, a) find the CRITICAL POINTS, expressing them as ordered pairs 12] b) determine the increasing and decreasing intervals

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13. For the function y=x* -18x +32, a) find the CRITICAL POINTS, expressing them as ordered pairs 12] b) determine the increasing and decreasing intervals 13] c) classify one of the critical points by clearly applying the first derivative test. 12] d) classify a different critical point by applying the second derivative test [21 e) find the interval(s) where the function is concave up [3] f) determine the absolute maximum and absolute minimum values of the function on the interval [-1,4] [2] 14. Given the following graph of y = f(x), (3, 27) provide either a set of values for x or an 27+ Maximum interval/intervals on the x-axis which satisfy the following: 18 + (2, 16) [2] 9 - "Points of Inflection a) f' (x)>0 b) f" ( x ) >0 -1' -9- -18+

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