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Topic: concavity
Replies: 5   Last Post: Feb 10, 1998 4:05 PM

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KeithP5K@aol.com

Posts: 6
Registered: 12/6/04
concavity
Posted: Feb 4, 1998 9:51 PM
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Here is a review problem I have used in my class to help prepare students for
the AP exam.

f(x)=12x^(2/3)-8x

a) Find where f is increasing.

b) Find all relative max.

c) Find all relative min.

d) Find where f is concave down.

In part d, when x=0, f " does not exist and f(0) does.Thus at x=0 there is a
possible point of inflection. After testing an x<0 and an x>0 it can be
determined that f is concave down on both intevals. Is it a true statement to
say that f is concave on the entire domain or must x=0 be excluded?

Keith Pigeon
Math Teacher
New Britain High School




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