Let us take
[tex]\sqrt{x}[/tex]as an example.
The graph of the function will be shown below
Let us now get the domain and range of the function
The domain of the function is
[tex]\:[0,\:\infty \:)[/tex]The range of the function is
[tex][0,\:\infty \:)[/tex]Let us now take the
[tex]\sqrt[3]{x}[/tex]as an example.
Let us graph the function
Let us now get the domain and range of the function
The domain of the function is,
[tex]\:\left(-\infty \:,\:\infty \:\right)[/tex]The range of the function is,
[tex]\left(-\infty \:,\:\infty \:\right)[/tex]Note: The domain and the range of square-root of x starts from 0 to positive infinity while the domain and the range of cube-root of x starts from the negative infinity to positive infinity.
