# GATE2018 ME-1: GA-9

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Which of the following functions describe the graph shown in the below figure?

1. $y=\mid \mid x \mid + 1 \mid -2$
2. $y=\mid \mid x \mid - 1 \mid -1$
3. $y=\mid \mid x \mid + 1 \mid -1$
4. $y=\mid \mid x - 1 \mid -1 \mid$

edited
Migrated from GO Mechanical 1 year ago by Arjun

Take $x = 1$

$y_A = 0, y_B = -1, y_C =1, y_D =1$

Only $y_B$ is correct.

So, Option: B.
0

@Arjun sir

After getting $y_{b}=-1$ by putting $x=1$, how we are concluding that B is the option.

2

@Kushagra गुप्ता

When we put $x = 1,$ then option $(B)$ given $y = -1$

When we put $x = -1,$ then option $(B)$ given $y = -1$

When we put $x = 0,$ then option $(B)$ given $y = 0$

When we put $x = 2,$ then option $(B)$ given $y = 0$

When we put $x = -2,$ then option $(B)$ given $y = 0$

When we put $x = 3,$ then option $(B)$ given $y = 1$

When we put $x = -3,$ then option $(B)$ given $y = 1$

Only Option $(B)$ satisfies the given graph.

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