3. Consider the function / (x) = e-?'. (a) (4 points) Find z-coordinate(s) of the critical point(s). (b) (4 points) Find the possible inflection point(s). (c) (4 points) Use either the first or the second derivative test to classify the critical point(s) as local maxima, local minima, or neither. (d) (4 points) The Extreme Value Theorem states that the extreme values of any continuous function f defined on a closed bound interval can be attained at some points on the interval [a, b]. Does the function f(x) have an absolute maximum on the interval [0, 2]? What about an absolute minimum? For each, find the value, or write "none" and explain why. Global maximum: Global minimum