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$The range of f (x) = sgn (x^{2} - 2 x + 3) i s$

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Correct option is A

x2−2x+3=(x−1)2+2>0∀x∈R or f(x)=sgn⁡x2−2x+3=1 Hence, the range is {1} .

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The range of f(x)=sgn⁡x2−2x+3 is

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$The range of f (x) = sgn (x^{2} - 2 x + 3) i s$