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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:

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: