Use the graph of the function f() to fill in the blanks below. H (You can click on the graph to enlarge the image.) (a) The critical numbers (i.e., critical points or critical values) of f(@) on the open interval (0, 5) occur at T= (b) On the interval [0, 5], the absolute maximum value of f() occurs at E (c) On the interval [0, 5], the absolute minimum value of f () occurs at I =Use the graph of the function f to determine its absolute minimum value and absolute maximum value, and where they occur. 10 -10-9 -8 -7 -6 -5-4-3. 1 2 3 4 5 6 7 8 9 10 (You can click on the graph to enlarge the image.) (a) The absolute maximum value is and it occurs at c = E (b) The absolute minimum value is and it occurs at = = E7r Find all critical numbers for the function f(r) = 672 + 10 The critical numbers are: Note: Enter the critical numbers separated by commas.Find all critical numbers for the function f(2) = (x -2) (x - 5)3 +6. The critical numbers are: E Note: Enter the critical numbers separated by commas.Find all critical numbers for the function f(t) = 912/3 - 415/3 The critical numbers are: E Note: Enter the critical numbers separated by commas.Consider the function f(x) = 5 - 2x2, -5652. (a) The absolute maximum value is E and it occurs at = E (b) The absolute minimum value is E and it occurs at c = ELet g( s) = - on the interval [-1, 0]. 8 - 2 (a) The absolute maximum value is E and it occurs at 8 = E (b) The absolute minimum value is E and it occurs at 8 =Let f(x) = sin(@) on the interval (a) The absolute maximum value is and it occurs at c = (b) The absolute minimum value is and it occurs at c = ILet f(t) = tv6 - t on the interval [-2, 5]. (a) The absolute maximum value is and it occurs at t = (b) The absolute minimum value is and it occurs at t =Let hft} = 5 |t| on the interval [43]. {a} The absolute maximum value is 2 and it occurs at t = 2 {ti} The absolute minimum value is 2 and it occurs at t = I Hint: The graph of the function could help you identify the function extrema