Difference between revisions of "2003 AMC 12A Problems/Problem 6"
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Revision as of 10:13, 11 November 2006
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
"