is y=0.005x^2+10 a fuction?

yes. each value of x maps to a unique value of y. If you graph it, no vertical line crosses the graph in more than one point.

Yes, the equation y = 0.005x^2 + 10 represents a function. A function is a mathematical relationship between two variables, in this case, x and y. In this equation, for every input value of x, there is a corresponding output value of y.