Compare and contrast y=square root of x and f(x)=square root of x

 For this case we have the following functions:
 y = square root of x
 f (x) = square root of x
 Rewriting the functions we have:
 [tex]y = x ^ {(1/2)} f (x) = x ^ {(1/2)}[/tex]
 We observed that:
 The functions are exactly the same.
 The difference is that when writing f (x) we know that the function depends on x.
 When writing the letter y, we have two variables:
 y: dependent variable.
 x: independent variable.