# Square Root Function

The inverse relationship for the square function y = x^{2} with its entire domain of all real numbers is y = $\pm$ $\sqrt{x}$ which is not a function. An inverse function can be defined by restricting the domain of the square function. Thus the square root function g (x) = $\sqrt{x}$ is the inverse for f(x) = x^{2} where x is a non negative number.

Same way restricting the domain as x $\leq$ 0, the negative of g(x), h(x) = - $\sqrt{x}$ becomes the inverse for the square function.

A square root function is an algebraic function as it is expressed as the square root of the variable. The parent square root function is given as

f(x) = $\sqrt{x}$ **The graph of square root function is given below:****The characteristics of square root function can be stated as:**

- The domain of the function is the set of all non negative real numbers.
- The range of the function is the set of all non negative real numbers.
- The graph meets both the x and y axis at (0, 0)
- The function is increasing or the graph is rising up in the entire domain of the function.