GATE 2015 EE (EE2) – Question 5

For $f(x)=1-|x|$ on [−1,1], the maximizing x and maximum value, respectively, are

Show answer and explanation

Correct answer: (C) 0,1

Explanation

Since |x|≥0, 1−|x|≤1. Equality occurs exactly at x=0, which is inside the domain.

Thus the function attains its maximum 1 at x=0. At either endpoint its value is zero. The requested pair is **0,1, C**.

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