2003 AMC 12A Problems/Problem 6
Revision as of 22:42, 9 November 2006 by Xantos C. Guin (talk | contribs) (added problem and solution)
Problem
Define to be
for all real numbers
and
. Which of the following statements is not true?
for all
and
for all
and
for all
for all
if
Solution
Examining statement C:
when
, but statement D says that it does for all
.
Therefore the statement that is not true is " for all
"