A reciprocal graph is of the form y= y = a ⁄ x, where a a is a constant. E.g. Here is the graph of y= y = 1 ⁄ x. The graph is a smooth curve called a hyperbola. We can see that there is a break in the graph when x=0 x = 0. The curve gets very close to the x x and y y axes but never touches them.

The equation of a reciprocal graph is y=cfrac {a} {x-h}+k y = x − ha + k. In this case, h=0 h = 0 and k=-1 k = −1.

A reciprocal function has the form y= k / x, where k is some real number other than zero. It can be positive, negative, or even a fraction. The graph of this function has two parts. For the simplest example of 1 / x, one part is in the first quadrant while the other part is in the third quadrant.

A reciprocal function is obtained by finding the inverse of a given function. For a function f (x) = x, the reciprocal function is f (x) = 1/x. The reciprocal function is also the multiplicative inverse of the given function.