Question

How do you find the domain of `x^2 + 4`?

Answer 1

See below.

Explanation:

The domain is the values that `x` can take on, without causing `y` to be indeterminant.

As `x` approaches `oo`, `x^2+4` approaches `oo`.

As `x` approaches `-oo`, `x^2+4` approaches `oo`.

As `x` approaches `0`, `x^2+4` approaches `4`.

This is actually the graph of a quadratic (where `x` can take on any value), so the domain is `(-oo,oo)`.