The function f is eontinuous for all real numbers and the graphs of J\" and f" are given. (a) Determine the critical numbers of I. (Use symbolic notation and fractions where needed. Enter DNE if the solution does not exist. Give your answer in the form of a eommaseparated list of numbers.) ............... \":0 (b) Where is f increasing? (Use symbolic notation and fractions where needed. Give your answers as intervals in the form it. t]. Use the symbol on f or innity. LI for combining intervals, and parenthesis "f". ")" for open intervals. Enter 52:. if the interval is empty.) ems... _I (c) 1v'v'here is f decreasing? (Use symbolic notation and fractions where needed. Give your answers as intervals in the form it. t]. Use the symbol on f or innity. L) for combining intervals, and parenthesis "f". ")" for open intervals. Enter 52'- if the interval is empty.) mam... ll {d} At what numbers x, if any. does I have a local minimum? (Use symbolic notation and fractions where needed. Enter DNE if the solution does not exist. Give your answer in the form of a eommaseparated list of numbers.) local minimum at the number($): (e) At what numbers x, if any, does f have a local maximum? (Use symbolic notation and fractions where needed. Enter DNE if the solution does not exist. Give your answer in the form of a comma-separated list of numbers.) local maximum at the number(s): (f) Where is f concave up? (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (#, #). Use the symbol co for infinity, U for combining intervals, and parenthesis "(", ")" for open intervals. Enter @ if the interval is empty.) f is concave up on (@) Where is f concave down? (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, #). Use the symbol co for infinity, U for combining intervals, and parenthesis "(", ")" for open intervals. Enter @ if the interval is empty.) f is concave down on (h) List the x-coordinates of any inflection points. (Use symbolic notation and fractions where needed. Enter DNE if the solution does not exist. Give your answer in the form of a comma-separated list of numbers.) inflection points at the number(s)