Question

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

Answer 1

Domain: `{x|x " is " RR}` or `(-oo,oo)`

Range: `{y|y>=2}` or `[2, oo)`

Explanation:

The domain of all quadratic functions is all real numbers, there are no restrictions on input:

`{x|x " is " RR}` or `(-oo,oo)`

The range of the parent function `y=x^2` is `0` to `oo` but your function has a shift of 2 up so the range is:

`{y|y>=2}` or `[2, oo)`

graph{x^2 +2 [-10.29, 9.71, -0.28, 9.72]}