GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

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Question : 8 of 65

Marks: +1, -0

Which of the following functions describe the graph shows in the below figure.

$y=\| x|+1|-2$
$y=\| x|-1|-1$
$y=\| x|+1|-1$
$y=|| x-1|-1|$

Solution:

x	$0$	$±1$	$±2$
y	$0$	$-1$	$0$

	$X=2$	$X=1$	$X=-1$	$X=-2$
$y=\|\| x\|+1\|-2$	1(option fails)
$y=\|\| x\|-1\|-1$	0	$-1$	$-1$	$0$
$y=\|\| x\|+1\|-1$	2(option fails)
$y=\|\| x-1\|-1\|$	0	1(option fails)

Hence only B option prevails.

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