One is a horizontal asymptote. Likewise, zero is a vertical asymptote. You can now construct a "new grid" based on these lines.
This function is continuous everywhere except zero, so it must hold values on both sides of the vertical asymptote. In order for it to be a function, it cannot have more than one value for some given value. Our conclusion is that this function must be in either the 1st and 3rd quadrants (of our grid crossed by these asymptotes) or the 2nd and 4th quadrants. To find that out, test for positive or negative values.
To find the curvature, note the function is of the form , so it must be parabolic.
Lastly, to find the concavity, you can analyze the one-sided limits of as approaches .