2022 AMC 10A Problems/Problem 6
Contents
[hide]Problem
Which expression is equal to for
Solution 1
We have ~MRENTHUSIASM
Solution 2
Assume that Then, the given expression simplifies to : Then, we test each of the answer choices to see which one is equal to :
The only answer choice equal to for is
-MathWizard09
Solution 3
The given function is continuous, so assume that Then, the given expression simplifies to
We test each of the answer choices and get or
We test and get
vladimir.shelomovskii@gmail.com, vvsss
Video Solution 1 (Quick and Easy)
~Education, the Study of Everything
Video Solution 2
See Also
2022 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.