2017 AMC 12B Problems/Problem 7
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Problem 7
The functions and
are periodic with least period
. What is the least period of the function
?
The function is not periodic.
Solution
has values
at its peaks and x-intercepts. Increase them to
. Then we plug them into
.
and
. So,
is
See Also
2017 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 6 |
Followed by Problem 8 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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