#12. (20 points) Given the following information for a function /(r). (i) f(x) is defined for all real numbers () /(E) = (13 + 4 )3 18 x (x- 12) (wv) /(0) = 0 (v) lim /(=) =0 (vi) lim /(z) = 0 (vil) The function has a local maximum value of 2.25. Find (a] All intervals on which /(x) is increasing or decreasing. (b) x-value(s) of all local (relative) extrema. (c) All intervals where / (x) is concave up or concave down. (d) z-value(s] of all inflection points. (e) Sketch the graph of /(x). Label all asymptotes, local extrema, and inflection points