Let f(:1:) be the function shown in the graph below. > l Click on the graph to enlarge it. (a) State the point at which f has an absolute minimum: ( (b) State the point at which f has an absolute maximum: ( (c) Complete each of the following statements: (i) The function attains a local minimum v at :1: = 2. (ii) The function attains a local minimum v at a: = 4. (iii) The function attains a local maximum v at z : 5. efl.' 5+6":- Consider the function f(m) : (3) N90} = (D) f is increasing for a: E (c) f is decreasing for w E (d) The local minima of f occur at m : (e) The local maxima of f occur at m = (f) f\"(w) = (g) f is concave up for :1; e (h) f is concave down for x E (i) The inflection points of f occur at a: 2 Note: Input U, infinity, and -intinity 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:) : 4:3 l f. (:1) Find all critical numbers (3 of f. c : (b) f is concave up for a: E (c) f is concave down for m 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: 2 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. Considerthe function f(:c) : 2:02 8m4. (a) Find all critical numbers c of f. c (b) f is concave up for m E (c) f is concave down for :1: 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 :1: : 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