Question

Which graph represents the function f (x) = StartFraction 2 x Over x squared minus 1 EndFraction?
On a coordinate plane, a hyperbola and parabola are shown. The hyperbola has a curve in quadrants 1 and 2. The parabola opens down and has a vertex at (0, 0).
On a coordinate plane, a hyperbola and a cubic functions are shown. They hyperbola has curves in quadrants 1 and 3, and the cubic function goes through (0, 0).
On a coordinate plane, a hyperbola is shown. One curve is in quadrant 1 and the other curves goes through quadrants 2 and 4.
On a coordinate plane, a hyperbola is shown. Both curves open downward in quadrants 3 and 4.

Answer 1

\[f(x) = \frac{ 2x }{ x^{2}-1 }\]

Answer 2

- so to get the right answer draw the graph of this function f(x) on a coordinate plan XOY