Which one of the following function contains only one integer in it...

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Which one of the following function contains only one integer in its range?
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[Note \( \operatorname{sgn}(k) \) denotes the signum function of \( k \).]
(a) \( f(x)=\frac{1}{2} \cos ^{-1}\left(\frac{1-x^{2}}{1+x^{2}}\right) \)
(b) \( g(x)=\operatorname{sgn}\left(x+\frac{1}{x}\right) \)
(c) \( h(x)=\sin ^{2} x+2 \sin x+2 \)
(d) \( k(x)=\cos ^{-1}\left(x^{2}-2 x+2\right) \)
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