"The function "root of x", its properties and graphs". Function y \u003d square root of x, its properties and graph lesson function y root of x

Consider the function y=√x. The graph of this function is shown in the figure below.

Graph of the function y=√x

As you can see, the graph resembles a rotated parabola, or rather one of its branches. We get a branch of the parabola x=y^2. It can be seen from the figure that the graph touches the Oy axis only once, at the point with coordinates (0; 0).
Now it is worth noting the main properties of this function.