The graph of the function y = f (x) is as shown in the figure. Then which one of the…

Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions

The graph of the function y = f (x) is as shown in the figure. Then which one of the following graphs are correct?

1. |y| = sgn ( f (x))
2. |y| = sgn (–f (|x|))
3. |y| = | f | x ||
4. y = x^{sgn (f (x))}

Answer

(A) |y| = sgn ( f (x)), (B) |y| = sgn ( –f (|x|))

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