MathDB
Absolute Value

Source:

November 10, 2005
searchfunctionabsolute valuecomplex numbers

Problem Statement

Let f(x)=∣x−p∣+∣x−15∣+∣x−p−15∣f(x) = |x - p| + |x - 15| + |x - p - 15|, where 0<p<150 < p < 15. Determine the minimum value taken by f(x)f(x) for xx in the interval p≤x≤15p \le x \le 15.
Back to ProblemsView on AoPS