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Graph of sgn(x)

The graph of ...

Question

The graph of $| x | + | y | = 1$ is

A

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B

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C

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D

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Solution

The correct option is B
Given : $| x | + | y | = 1$
$| y | = 1 - | x | \Rightarrow y = \pm (1 - | x |)$
We know $y = | x |$

So $y = - | x |$

For $y = 1 - | x |$ , shifting $y = - | x |$ upwards by $1$ unit.

Now, taking mirror image about $x -$ axis, we get
$y = - (1 - | x |)$
Hence, the graph of $| x | + | y | = 1$ is

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