Let f : R → R be defined by \(f\left( x \right)=\frac{x}{1+{{x}^{2}}}\), x ∈ R. Then the range of f is:

\(\text{R}-\left[ -1,1 \right]\)

\(\left[ -\frac{1}{2},\frac{1}{2} \right]\)

\(\text{R}-\left[ -\frac{1}{2},\frac{1}{2} \right]\)

Let f : R → R be defined by \(f\left( x \right)=\frac{x}{1+{{x}^{2}}

1.	Let f : R → R be defined by \(f\left( x \right)=\frac{x}{1+{{x}^{2}}}\), x ∈ R. Then the range of f is:
A.	\(\left[ -\frac{1}{2},\frac{1}{2} \right]\)
B.	\(\text{R}-\left[ -1,1 \right]\)
C.	\(\text{R}-\left[ -\frac{1}{2},\frac{1}{2} \right]\)
D.	(-1, 1) - {0}
Answer» B. \(\text{R}-\left[ -1,1 \right]\)

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