What is the minimum value of ?

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

What is the minimum value of f(x)=∣x−1∣+∣2x−1∣+∣3x−1∣+⋯+∣19x−1∣f(x) = |x-1| + |2x-1| + |3x-1| + \dots + |19x-1| ?

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