Finding the value of K to make a function continuous
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Finding the value of K to make a function continuous

[From: ] [author: ] [Date: 11-05-02] [Hit: ]
imageshack.us/img709/1341/…-Think of Rolles Theorem.If f is continuous on [-2, 2] and differentiable on (-2, 2), and f(-2) = f(2) = 0,......
It's not like the ones I've seen before. The answer I think is E, but why? And how am I supposed to do this problem if the problem doesn't even mention the variable K and it's present in all the answer choices?
http://img709.imageshack.us/img709/1341/…

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Think of Rolle's Theorem.

If f is continuous on [-2, 2] and differentiable on (-2, 2), and f(-2) = f(2) = 0, then there must exist c in (-2,2) such that f '(c) = 0.

Since the last statement does not hold, we must have that f is not differentiable on (-2, 2) [because we know that f is continuous on [-2, 2] and f(-2) = f(2) = 0].

This leave choice E.

I hope this helps!
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