Question

What is the domain and range of `y=x^2`?

Answer 1

Domain: `(-oo, + oo)`
Range: `[0, + oo)`

Explanation:

The function is defined for any value of `x in RR`, so its domain will have no restrictions. In interval notation, the function's domain will be `(-oo, + oo)`.

Since you're dealing with the square of a real number, the function can never be negative, regardless of the value of `x in RR`.

`x^2 >= 0", "(AA)x in RR`

This means that its range will be `[0, + oo)`.

graph{x^2 [-16.02, 16.02, -8.01, 8.01]}