Relations And Functions Practice Questions Ques5

Question: What is the range of the signum function $f(x) = \text{sgn}(x)$?

Options:

(A) {-1, 0, 1}

(B) $[-1, 1]$

(C) $(-\infty, \infty)$

(D) $[0, \infty)$

Show Answer

Answer: A

Explanation:

(A) The signum function takes on only three values: -1, 0, and 1.

(B) This is the range of the sine function, not the signum function.

(C) This is the domain of the signum function, not its range.

(D) This is not the correct range for the signum function.



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