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Unformatted text preview: f ( x )? (b) On what interval(s) is f ( x ) positive? (c) On what interval(s) is f 00 ( x ) negative? (d) What are the inﬂection point(s)? 9 (8) (a) Sketch a graph of a continuous function that whose ﬁrst derivative is positive everywhere, second derivative is negative everywhere, f (1) = 1, and f (1) = . 25. (b) Sketch a graph of a continuous function that whose ﬁrst derivative is negative everywhere, second derivative is positive everywhere, f (2) = 1, and f (2) =2. 10 (9) Given the graph of g ( x ). (a) What are the critical points of g ( x )? (b) Sketch the graph of g ( x ) on the given set of coordinates....
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 Spring '09
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 Calculus, Derivative, #, Continuous function, Polytechnic Institute of NYU MA

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