Answer
y-intercept: $(0,-8)$
x-intercept: $(2,\ 0)$
Work Step by Step
To find the $y$ intercepts, we set $x=0$:
$y=0^{3}-8$
$y=-8$
To find the $x$ intercepts, we set $y=0$:
$0=x^3-8$
$x^3=8$
$x=2$
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