1995 AHSME Problems/Problem 12
Revision as of 22:15, 9 January 2008 by Azjps (talk | contribs) (1995 AMC 12 Problems/Problem 12 moved to 1995 AHSME Problems/Problem 12)
Problem
Let be a linear function with the properties that
and
. Which of the following is true?
Solution
A linear function has the property that either for all a<b, or for all b<a. Since
,
. Since
,
. And if
for a≠b, then f(x) is a constant function. Since
,
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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