NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for co and '-|NF' for 00. And use 'U' for the union symbol. Enter DNE if an answer does not exist. a) Give the domain of f (in interval notation) C] b) Find the critical numbers of f. C] (Separate multiple answers by commas.) c) Determine the intervals on which f is increasing and decreasing. f is increasing on: f is decreasing on: d) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at a: 2 (Separate multiple answers by commas.) Relative minima occur at a: = (Separate multiple answers by commas.) NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for 00 and '-INF' for 00- And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(:c) = 3 sin :1: cos a: on [1r,1r] a) Find the critical numbers off. C] (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: f is decreasing on: c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at a: = (Separate multiple answers by commas.) Relative minima occur at a: = (Separate multiple answers by commas.)