GATE 2015 CS (CS2) – Question 5

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 1 mark · Multiple choice

For f(x)=1−|x| on −1≤x≤1, give the maximizing x and maximum value, respectively.

0,−1
−1,0
0,1
−1,2

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Show answer and explanation

Correct answer: (C) 0,1

Explanation

Since |x| is nonnegative, 1−|x| is at most one. Equality holds exactly at x=0, which lies in the given interval. Therefore the required pair is zero,one, C.

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