Y=x^2 vs y=x^ (1/2)

"y=x^2 vs y=x^"

Y=x^2, basic functions, nonsense not much to say.

　　

y=x^ (1/2), the exponent becomes the reciprocal of the upper form. x^ (1/2) that is, √x. But what does a function image look like? The y=x^ (1/2) can be converted to y^2 = x. After this, it is found that the x-axis and y-axis are reversed just as in the form above. So swap the x and Y axes to get the y=x^ (1/2) image.

　　

Found that Y has only a portion greater than 0 because the root determination symbol must be greater than 0. To get a real rotation image, change the function. |y|=x^ (1/2).

　　

It can be found that this 2 equation about y=x symmetry.

　　　　

Y=x^2 vs y=x^ (1/2)