The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Courses » ap-calculus

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: [ap-calculus] MC question
Replies: 1   Last Post: Dec 2, 2011 10:29 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Kristin Visser

Posts: 44
Registered: 10/11/10
[ap-calculus] MC question
Posted: Dec 1, 2011 5:33 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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

Course related websites:
To search the list archives for previous posts go to
To unsubscribe click here:
To change your subscription address or other settings click here:

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.