Answer
$\textbf{(a)}\hspace{0.7cm}$See the graph
$\textbf{(b)}\hspace{0.7cm}$From the graph:
the $x−$intercepts are at $(-1,0)$ and $(1,0)$, and the y−intercept is at $(0,1)$.
$\textbf{(c)}\hspace{0.7cm} x−$intercepts are at $(-1,0)$ and $(1,0)$ and $y−$intercept is $(0,1)$.
Work Step by Step
$\textbf{(a)}\hspace{0.7cm}$See the graph
$\textbf{(b)}\hspace{0.7cm}$From the graph:
the $x−$intercepts are at $(-1,0)$ and $(1,0)$, and the $y−$intercept is at $(0,1)$.
$\textbf{(c)}\hspace{0.7cm}$
at $x−$intercepts $y=0$
i.e. $\sqrt[3]{1-x^2}=0⇒1-x^2=0⇒x^2=1⇒x=-1 or x=1$
i.e $x−$intercepts are at $(-1,0)$ and $(1,0)$
at $y−$intercepts $x=0$
i.e. $y=\sqrt[3]{1-0^2}=\sqrt[3]{1}=1$
i.e$ y−$intercept is $(0,1)$
