Consider the odd function/ that is continuous, dilfcrcnliablc. and has the functional
Chapter 3, Problem 2(choose chapter or problem)
Consider the odd function/ that is continuous, dilfcrcnliablc. and has the functional values shown in the tabic. X -5 -4 -I T 3 6 f(x) 1 3 2 -I -4 (a) Determine / (4). (h) Determine /(-3). (c) Plot the poults and make a possible sketch of the graph ol / on the interval [-6.6]. What is the smallest uimibcr of critical points in the interval? E.xplaui. (d) Does there exist at least one real number c in the uiler\al (-6. 61 where fit) = -]"! Explain. (c) Is It possible that lim /(.v) does not exist'.' Explain, (f) Is it necessary that f'(x) exists at v = 2' Explain.
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