GATE2018 ME-1: GA-9

Question

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

• A. $y=\mid \mid x \mid + 1 \mid -2$
• B. $y=\mid \mid x \mid - 1 \mid -1$
• C. $y=\mid \mid x \mid + 1 \mid -1$
• D. $y=\mid \mid x  - 1 \mid -1 \mid$

Answer 1

Take $x = 1$

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

Only $y_B$ is correct.

So, Option: B.

Comments

@Arjun sir

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

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@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.