Consider the function defined for

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Consider the function g(t)=∣t−1∣+12 (t+3)g(t)=|t-1|+\tfrac12\,(t+3) defined for −3≤t≤5-3\le t\le 5. Find the value of tt at which gg attains its minimum on this interval.

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