The domain of the reciprocal function is negative infinity to zero, and zero to positive infinity. The range is negative infinity to zero, and zero to positive infinity. The reciprocal function has two asymptotes; on the x-axis and on the y-axis.

It is an odd function and is decreasing on the interval negative infinity to zero and zero to positive infinity.

The graph does not intersect the x or y axis.

Important anchor point coordinates are: (-1,-1) and (1,1).

You can graph many variations of the reciprocal function using transformations. Check out examples of horizontal shift right and horizontal shift left.