For $x < 0,$ the value of $sgn (x) =$ , where $sgn (x)$ is the signum function.

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Solution

The correct option is A $- 1$
The signum function is defined as:
$sgn (x) = (\begin{matrix} \frac{| x |}{x}, x \neq 0 0, x = 0 \end{matrix}$
Now, since we have been given: $x < 0$
$\Rightarrow sgn (x) = \frac{| x |}{x} = \frac{- x}{x} = - 1$

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