Consider the function f(:1:) : 2m2 83:4. (a) Find all critical numbers c of f. c = (D) f is concave up for a: E (c) f is concave down for a? E (d) Using the 2nd derivative test, the local maxima of f occur at m : (e) Using the 2nd derivative test, the local minima of f occur at a: : Note: Input U, infinity, and -infinity for union, co, and 00, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none. Consider the function f(a':) : 7(3: 2)2/3. (a) Find all critical numbers 0 of f. c : (b) f is increasing for a\": E (c) f is decreasing for m E (d) f is concave up for a: E (e) f is concave down for a? 6 Note: Input U, infinity, and -infinity for union, co, and 00, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none. 1 Consider the function f (x ) = 8x2 + 2 (a) f is concave up for x E (b) f is concave down for a E (c) The inflection points of f occur at x = Note: Input U, infinity, and -infinity for union, oo, and -oo, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.Consider the function f(:c) : 222613. (a) f is concave up for :13 E (b) f is concave down for :1: E (c) The inflection points of f occur at a: : Note: Input U, infinity, and -infinity for union, 00, and oo, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none