## Precalculus (10th Edition)

See graph Domain: $(-\infty,\infty)$ Range: $(-\infty,\infty)$
We are given the function: $f(x)=(x+2)^3-3$ We start with the basic function $a(x)=x^3$. We horizontally shift $a(x)$ 2 units to the left to get $b(x)=(x+2)^3$. Then we vertically shift $b(x)$ 3 units downward to get $f(x)=(x+2)^3-3$. We use 3 points: $(-2,-3),(-1,-2),(0,5)$ The domain of $f$ is: $D=(-\infty,\infty)$ The range of $f$ is: $R=(-\infty,\infty)$