Question

How to find domain and range of a function?

Answer 1

Define the domain and range of a function:

The domain of a function is defined as the set of all possible values at which the function is defined.

The range of a function is defined as the set of all outputs of a function at domain values.

Example:- If a function is $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^2,\mathrm{x}\in \mathrm{R}$ (Set of real numbers), then domain and range is?

Domain of $\mathrm{f}\left(\mathrm{x}\right)=\mathrm{R}$

Range of $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{R}}^{+}\mathrm{or}[0,\infty ),\left\{\mathrm{y}|\mathrm{y}\ge 0\right\}$

Hence, in this way, we can find the domain and range of a function.