Question

How do you find the domain and range for `y=x^2`?

Answer 1

The domain of a function is the largest set where the function is properly defined. The range is the largest set of values taken by the function.

Explanation:

The function `y=x^2` is defined by all `x` values, given that all real numbers `x` can be raised to the square. However, when a number `x` is raised to the square it is always positive; that is, regardless of whether `x>=0` or `x<0` the value `x^2>=0`. Hence the range of the function is all `y>=0`