Answer
Symmetry with respect to the origin only.
Work Step by Step
Equation : $y=\frac{x}{x^2+1}$
Plug -y instead of y, LHS changes sign. (-y)
Plug -x instead of x, RHS changes sign. (-$\frac{x}{x^2+1}$)
Since both change sign (but not the magnitude, equation is symmetric about origin.
