Answer
Refer to the curve in Black in Graph I
Work Step by Step
For $y = -(x + 1)^3,$
when
$x = 1, y = -8;$
$x = 0, y = -1;$
$x = -1, y = 0;$
$x = -2, y = 1;$
$x = -3, y = 8$
As seen, $y = -(x + 1)^3$ is the horizontal translation of $y = x^3$ to the left by 1 unit and then reflected across the $x$-axis.
Domain = $(−\infty, \infty)$
Range = $(-\infty, \infty)$
