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Unformatted text preview: f ( x ) = 0 or f ( x ) DNE. Hint: Show that x = 1 and x = e-2 are the only critical values of f . (e) Give a table of intervals of increase and decrease for f . (f) Give the x and y coordinates of any local maximums and minimums. (g) Find f 00 ( x ), and ﬁnd all values with f 00 ( x ) = 0 or f 00 ( x ) DNE. Hint: Show that x = e-1 is the only possible point of inﬂection of f . (h) Give a table of intervals of concavity of f . (i) Give the x and y coordinates of any points of inﬂection of f . (j) Using all the information given, and your solutions from (a) to (i), sketch the graph of the function f ....
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