What is a square root curve?

A square root curve is a type of curve that represents the square root function, y = √x. This function is defined as the inverse of the square function, y = x^2. The square root curve starts at the origin and extends in the first quadrant of the coordinate plane with a shape that resembles the square root symbol (√) when graphed. The curve increases slowly at first and then gradually becomes steeper as x increases. It never touches the x-axis and its domain is only for non-negative values of x. The range of the square root function is also non-negative. Square root curves are commonly seen in mathematics, physics, engineering, and other fields where the relationship between two variables can be modeled by the square root function. They are often used to represent relationships that are nonlinear and involve the extraction of a square root.