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The Cabinet Mission and Its Plan

26. Range of ...

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26. Range of signum function is (-1,0,1) . How?

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The domain and range of the signum function is:

Q. The range of the function

f (x) = sgn (\frac{{sin}^{2} x + 2 sin x + 4}{{sin}^{2} x + 2 sin x + 3})

is (where sgn(.) denotes signum function)

Q. The number of integer(s) in the range of

\sqrt{[sgn (x)]^{2} - {sgn (x)}^{2}}

[.], {.}

sgn (x)

represent the greatest integer function, fractional part function and signum function respectively)

Q. The range of the function

f (x) = \frac{x + 2}{|x + 2|}

, x ≠ −2 is
(a) {−1, 1}
(b) {−1, 0, 1}
(c) {1}
(d) (0, ∞)

sgn (y)

denotes the signum function of

y,

then the range of

f (x) = sgn (x^{2} + 4 x + 5)

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