Which graph represents the function f(x)=2x/x2-1

Here we need to find the graph of the function:

So we can rewrite this function as follows:

By using graphing tool, we get the graph shown below. As you can see, this graph has a vertical asymptote at:

This is so because the denominator can't be zero, so those values make the denominator to be zero.

Also, it has an horizontal asymptote at because the degree of the numerator is lower than that of the denominator.