Difference between revisions of "2014 AMC 12A Problems/Problem 24"
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1. Draw the graph of f_0(x) by dividing the domain into three parts. | 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. | 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 | + | 3. Count the x intercepts of the each function and find the pattern. |
==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 10:32, 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.
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 | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
