Consider the function an) : 93261216. (a) f is concave up for m E (b) f is concave down for a: E (c) The inflection points 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(x) = 4x2 + 3 (a) f is concave up for x E (b) f is concave down for a E (-1/2,1/2) (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(:1:) : 4(2: 4)2/3. (a) Find all critical numbers c of f. c : (D) f is increasing for m E (c) f is decreasing for a: 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, 00, and 00, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none. Consider the function an) : 23:2 23:4. (a) Find all critical numbers c of f. c = (b) f is concave up for :1: E (c) f is concave down for m E (cl) Using the 2nd derivative test, the local maxima of f occur at a: : (e) Using the 2nd derivative test, the local minima of f occur at a: : Note: Input U, infinity, and -infinity for union, 00, and 00, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none