Graph of y = f(x) is given. Find the graph of |y| = f(x).

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Solution

The correct option is C

$y = f (x)$ is given

$| y | \geq 0 \Rightarrow$ if f(x) is negative, it can't be part of $| y | = f (x)$ .

When $f (x) > 0$ ,

$| y | = f (x) \Rightarrow y = \pm f (x)$ . So the graph will have $f (x)$ and $- f (x)$ together, when $f (x) \geq 0$ .

(i) Remove negative part

(ii) Add negative part of the existing part (-f(x))

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