Answer
Domain: $(-\infty,\infty)$
Range: $(-\infty,-2]\cup[2,\infty)$
Work Step by Step
We are given the hyperbola:
$\dfrac{y^2}{4}-\dfrac{x^2}{25}=1$
Graph the hyperbola.
From the graph we determine the domain $D$ and the range $R$:
$D=(-\infty,\infty)$
$R=(-\infty,-2]\cup[2,\infty)$