1982 AHSME Problems/Problem 19
Problem
Let for . The sum of the largest and smallest values of is
Solution
Note that at one of the three absolute values is equal to
Without using absolute values, we rewrite as a piecewise function: which simplify to The graph of is shown below. The largest value of is and the smallest value of is So, their sum is
~MRENTHUSIASM
See Also
1982 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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