The function / is continuous for all real numbers and the graph of its derivative function f is given. -200 (a) Determine the critical number(s) of f. (Give your answer in the form of a comma separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) critical number(s): (b) Determine the intervals where / is increasing. Give your answers as intervals in the form (*.*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")", "I":"I" depending on whether the interval is open or closed. Enter @ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) / is increasing on (c) Determine the intervals where / is decreasing. (Give your answers as intervals in the form (*.*). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")", "I":"I" depending on whether the interval is open or closed. Enter @ if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where nooded.) is decreasing on (d) Identify at what numbers x, if any, / has a local minimum. (Give your answer in the form of a comma separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if there are no such points.) local minimum: (c) Identify at what numbers x, if any. / has a local maximum. (Give your answer in the form of a comma separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNI: if there are no such points.) local maximum