It is a Hyperbola. It is an odd function. Its Domain is the Real Numbers, except 0, because 1/0 is undefined.

What type of function is a reciprocal function?

The reciprocal function is also called the "Multiplicative inverse of the function". The common form of a reciprocal function is y=kx y = k x , where k is any real number and x can be a variable, number or a polynomial.

Are all inverse function Bijective?

Moreover, properties (1) and (2) then say that this inverse function is a surjection and an injection, that is, the inverse function exists and is also a bijection. Functions that have inverse functions are said to be invertible. A function is invertible if and only if it is a bijection.