Answer
See graph
Domain: $(-\infty,\infty)$
Range: $[4,\infty)$
Work Step by Step
We are given the function:
$f(x)=x^2+4$
We start with the basic function $a(x)=x^2$. We shift $a(x)$ 4 units up to get $f(x)=x^2+4$.
We use 3 points: $(-1,5),(0,4),(1,5)$
The domain of $f$ is:
$D=(-\infty,\infty)$
The range of $f$ is:
$R=[4,\infty)$