Find the interval of convergence of 09 In(n) (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (,). Use symbol co for infinity. U for combining intervals, and appropriate type of parenthesis" (.. [or] depending on whether the interval is open or closed. Enter DNE if interval is empty.) XE

NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -o. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = x³ + 4.5x² 12л — 1 a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y). (Separate multiple answers by commas.) C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.) d) Find the x-value(s) where f' (x) has a relative maximum or minimum. f' has relative maxima at: (Separate multiple answers by commas.) f' has relative minima at: (Separate multiple answers by commas.)