Which of the following is the correct graphical representation of the signum function?

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None of the above

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Solution

The correct option is D
The signum function is defined as:
$sgn (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1, & x > 0 0, & x = 0 - 1, & x < 0 \end{matrix}$

The signum function is correctly represented graphically as:

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