Answer
$\textbf{(a)}\hspace{0.7cm}$See the graph
$\textbf{(b)}\hspace{0.7cm}$From the graph:
the $x−$intercepts are at $(0,0)$ and $(2,0)$, and the y−intercept is at $(0,0)$.
$\textbf{(c)}\hspace{0.7cm} x−$intercepts are at $(0,0)$ and $(2,0)$ and $y−$intercept is $(0,0)$.
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 $(0,0)$ and $(2,0)$, and the $y−$intercept is at $(0,0)$.
$\textbf{(c)}\hspace{0.7cm}$
at $x−$intercepts $y=0$
i.e. $x^4−2x^3=0⇒x^3(x−2)=0⇒x^3=0⇒x=0 or x−2=0⇒x=2$
i.e $x−$intercepts are at $(0,0)$ and $(2,0)$
at $y−$intercepts $x=0$
i.e. $y=0^4−2(0)^3=0$
i.e$ y−$intercept is $(0,0)$
