Question #1300038

CALC: limits at infinity (graph help)?

sketch a graph of a differentiable function f that satisfies the following conditions and has x=2 as its only critical number. f'(x) < 0 for x<2 f'(x) > 0 for x>2 lim as x->neg. infinity of f(x) = lim as x->pos. infinity of f(x) = 6 when it says critical number at x=2, what am I supposed to put at x=2? also how do I determine if there are any asymptotes? and the shape of the graph? I am extremely confused with this problem :( Having trouble understanding how to solve this. could you please explain the steps so I can use this as an example for other problems? thank you

2012-10-27 01:07:53

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