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Reciprocal Function:
A function f: \mathbb{R}-{0} \rightarrow \mathbb{R} defined by f(x) = \frac{1}{x} is called a reciprocal function.
The graphical representation of a reciprocal function is given by:
 
Reciprocal function.png
Constant Function:
A function f: \mathbb{R} \rightarrow \mathbb{R} defined by f(x) = c, for all x \in \mathbb{R} is called a constant function.
The graphical representation of a constant function is given by:
 
COnstant function.png