(1 point) Find the absolute maximum and minimum values of f(x) = x ln(x) on the interval H ,7] . Absolute maximum value is (If there is no absolute maximum value, enter "none". Absolute minimum value is ::: (If there is no absolute minimum value, enter "none". (1 point) Find the absolute maximum and minimum values of f(x) = x2 + 3 Absolute maximum value is 555 (If there is no absolute maximum value, enter "none". Absolute minimum value is 555 (If there is no absolute minimum value, enter "none". on the interval [7, 7]. 1 (1 point) Suppose f(x) = 9 Exfor x 2 8. Sketch the graph off by hand and use your sketch to find the absolute maximum and minimum values of f. Absolute maximum value is none (If there is no absolute maximum value, enter "none". Absolute minimum value is none (If there is no absolute minimum value, enter "none". (1 point) Consider f(x) = 7x2 + 8 defined on 3 s x s 3. ls f(x) a continuous function? Yes v Is the domain of f(x) a closed interval? No v Based solely on your answers above, is f(x) guaranteed to have an absolute maximum and an absolute minimum? No v Use a graphing calculator to graph f(x). (There is a free online graphing calculator at www.desmos.com.) Use your graph to find the absolute extrema of f (x)- Where does the absolute maximum of f (x) occur? The absolute maximum occurs at (0,8) 5!! (Enter your answer as an ordered pair, e.g., (0.8). If the absolute maximum value occurs more than once, enter a comma-separated list of ordered pairs. If there are no absolute maxima, enter "none". Where does the absolute minimum of f(x) occur? The absolute minimum occurs at none 555 (Enter your answer as an ordered pair. If the absolute minimum value occurs more than once, enter a commaseparated list of ordered pairs. If there are no absolute minima, enter "none".) (1 point) Consider f(x) = x3 2x with x E [, ) . Find all numbers C in the domain of f(x) (other than endpoints) for which f'(c) is either zero or undefined. C: (If there is more than one value of c, enter a commaseparated list. If there are no values of c, enter "none". Don't include endpoints of the domain.) Here is a graph of f(x). Use your answer above, the graph, and the domain of f (x) to find the local and global extrema of f (x). The absolute maximum occurs at 555 (Enter your answer as an ordered pair, e.g., (0,8). If the absolute maximum value occurs more than once, enter a commaseparated list of ordered pairs. If there are no absolute maxima, enter "none". The absolute minimum occurs at 555 (Enter your answer as an ordered pair. If the absolute minimum value occurs more than once, enter a commaseparated list of ordered pairs. If there are no absolute minima, enter \"none". A relative maximum occurs at iii (Enter your answer as an ordered pair. If there is more than one relative maximum, enter a commaseparated list of ordered pairs. If there are no relative maxima, enter "none".) A relative minimum occurs at iii (Enter your answer as an ordered pair. If there is more than one relative minimum, enter a commaseparated list of ordered pairs. If there are no relative minima, enter "none". (1 point) Consider f(x) = (x 7)2 with domain 00