Hello! I've been having trouble deciding what type of function this equation is:

y=√x / x^2+8

There are a couple possbilties to pick from such as; power, root, rational, algebraic, polynomial by degree 2 and polynomial by degree 8.
I thought it would be considered a root function by looking at its graph, but apparently that's not the case? Could someone explain why it wouldn't be and what the answer is?

rational functions are the quotient of two polynomials.

My best choice would be just an algebraic function.
A few seconds with google (or possibly your textbook) will confirm this.