## Precalculus (10th Edition)

See graph Domain: $(-\infty,\infty)$ Range: $(-\infty,\infty)$
We are given the function: $g(x)=x^3+1$ We start with the basic function $a(x)=x^3$. We vertically shift $a(x)$ one unit upwards to get $g(x)=x^3+1$. We use 3 points: $(-1,0),(0,1),(1,2)$ The domain of $g$ is: $D=(-\infty,\infty)$ The range of $g$ is: $R=(-\infty,\infty)$