The graph of the function f is given. (U. U} with Identify the points where the function has a local maximum value, a local minimum value, or an inection point. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list of points (*, *) , (dz, *) Enter DNE if the points do not exist. ) the point(s) of local maximum: the point(s) of local minimum: the point(s) of inection: Identify the intevals on which each function is increasing, decreasing, concave up, or concave down. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *) . Use the symbol 00 for innity, U for combining intervals, and parenthesis "(", ")" for open intervals. Enter (5 if the interval is empty.) the interval(s) of increasing: the interval(s) of decreasing: the concave up interval(s): I the concave down interval(s): ' The function f is continuous for all real numbers and the graphs of f ' and f \" are given. (a) Determine the critical numbers of f. (Use symbolic notation and fractions where needed. Enter DNE if the solution does not exist. Give your answer in the form of a commaseparated list of numbers.) critical numbers: (b) Where is f increasing? Note: Check the "Student Hint" for extra help and do not include xvalues that make f' (x) = 0 in your intervals. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (ac, 2:). Use the symbol 00 for innity, U for combining intervals, and parenthesis "(", ")" for open intervals. Enter (5 if the interval is empty.) f is increasing on I (0) Where is f decreasing? Note: Check the "Student Hint" for extra help and do not include xvalues that make f ' (x) = 0 in your intervals. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (ac, 2:). Use the symbol 00 for innity, U for combining intervals, and parenthesis "(", ")" for open intervals. Enter (25 if the interval is empty.) f is decreasing on (d) At what numbers x, if any, does f 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 comma-separated list of numbers.) (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? Note: Check the "Student Hint" for extra help. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol 00 for innity, U for combining intervals, and parenthesis "(", ")" for open intervals. Enter (3 if the interval is empty.) f is concave up on I (g) Where is f concave down? Note: Check the "Student Hint" for extra help. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol 00 for innity, U for combining intervals, and parenthesis "(", ")" for open intervals. Enter (3 if the interval is empty.) (11) List the xcoordinates of any inection points. (Use symbolic notation and fractions where needed. Enter DNE if the solution does not exist. Give your answer in the form of a commaseparated list of numbers.) inection points at the number(s)