Answer
$(a)$ See the image below
$(b)$
$x$-intercepts - $A(0,0)$, $B(2,0)$
$y$-intercepts - $A(0,0)$
$(c)$ Solving the equation gives us the following points:
$x$-intercepts
$x=0$ ; $y=0$
$x=2$ ; $y=0$
$y$-intercepts
$x=0$ ; $y=0$
Work Step by Step
$(a)$ We simply input the equation and get the graph. See the image above.
$(b)$ As we clearly see from the graph, we have following interceptions:
$x$-intercepts - $A(0,0)$, $B(2,0)$
$y$-intercepts - $A(0,0)$
$(c)$ $y=x^4-2x^3$
For $x$-intercept, we need to find $x$ values where $y=0$
Simplify : $y=x^3(x-2)$
$x^3(x-2)=0$
$x_1=0$
$x_2=2$
For $y$-intercept, we need to find $y$ values where $x=0$
$y=0^4-2\times0^3=0$