y-intercept where x = 0:

g(0) = (0 + 3)³

g(0) = 27

x-intercept where g(x) = 0:

0 = (x + 3)³

$\sqrt[3]{0}=(\textit{x}+3)$

−3 = x

The y-intercept is at (0, 27).
The x-intercept is at (−3, 0).

See part (a).