The Square Root Function: Definition, Graph, And Domain

square root function

f(x)=√x

The square root function is a mathematical function that returns the positive square root of its input. The symbol used to represent the square root function is the radical sign (√), and it is often written as f(x) = √x.

For example, if we apply the square root function to the number 4, we get the result 2, because 2 * 2 = 4. Similarly, the square root of 9 is 3, because 3 * 3 = 9.

It is important to note that the square root function only returns the positive square root of a number. For example, the square root of 16 is 4, but -4 is also a square root of 16. However, the square root function returns only the positive root (i.e., 4).

The square root function can be graphed as a curve that starts at the origin, then rises gradually and smoothly. The domain of the square root function is the set of non-negative real numbers, while the range is also the set of non-negative real numbers.

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