Let f(a) = 203 + NICO - 18x + 2. (a) Without graphing, find all the critical numbers of f on its domain. (b) Without graphing, find the increasing and decreasing intervals of f.(c) Without graphing, determine the locations (acvalues) of all local extreme values of f using the FirstDerivative Test. Then nd the local extreme values. \fThe problems on this page continue to refer to f (:13) : 1'3 + gm? 18x + 2. (e) Without graphing, nd the inection point(s) of f. (f) Without graphing, make a list of at least two intervals Where the Extreme Value The orem holds. Use the Second-Derivative Test to classify the local extreme value(s) of the following func- tion. + 9x