Difference between revisions of "2014 AMC 12A Problems/Problem 24"
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3. Count the x intercepts of the each function and find the pattern | 3. Count the x intercepts of the each function and find the pattern | ||
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==See Also== | ==See Also== | ||
{{AMC12 box|year=2014|ab=A|num-b=23|num-a=25}} | {{AMC12 box|year=2014|ab=A|num-b=23|num-a=25}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 14:36, 9 February 2014
Problem
Let , and for
, let
. For how many values of
is
?
Solution
1. Draw the graph of f_0(x) by dividing the domain into three parts.
2. Look at the recursive rule. Take absolute of the previous function and down by 1 to get the next function.
3. Count the x intercepts of the each function and find the pattern
(Revised by Flamedragon)
See Also
2014 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 23 |
Followed by Problem 25 |
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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