Date: Dec 1, 2011 5:33 PM
Author: Kristin Visser
Subject: [ap-calculus] MC question
I gave the following question on a recent test. I believe I took it from a

released AP MC test but I can't remember which or find it back. I remember

the answer being C, but I was unable to come up with a counter example for

III when my students asked. It doesn't seem like III has to be true, but I

can't think of a situation where I and II are, but III isn't.

Let f be a fucntion such that lim (h->0) (f(2+h)-f(2))/h = 5. Which of the

following MUST be true.

I. f is continuous at x=2

II. f is differentiable at x=2

III. the derivative of f is continuous at x=2

a. I only

b. II only

c. I and II

d. I and III

e. II and III

Thanks, Kristin Visser

--

Mrs. Kristin Visser

Chicago Christian High School

Physics, Honors Physics, and AP Calculus Teacher

Cross Country and Track Coach

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Course related websites:

http://apcentral.collegeboard.com/calculusab

http://apcentral.collegeboard.com/calculusbc

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