Question

F= {(x,y):y=x^2}

What is the domain and range of F?

Answer 1

The domain of F is all possible x-values, and in this case, you can input virtually any real number into this function, so its domain is
R, all real numbers.

The range of F is all possible y-values, given that you'll only take x-values from the domain.
Think about it, can you possibly get negative values for y?
You cannot, any output from f(x) = x^2 will always be non-negative, so the range of this function is:
All real numbers from 0 to infinity, or in interval notation:
[0, infinity) (note the square bracket by the 0, indicating that 0 is part of the set)
Hope that helps :)