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

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Answer 1 · 2017-06-29T17:27:29

See below.

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 $(-oo,oo)$ .

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