Answer
$(a)$ See the image below.
$(b)$
$x$-intercepts - $A(0,0)$, $B(1,0)$
$y$-intercepts - $A(0,0)$
$(c)$ Solving equation gives us points:
$x$-intercepts:
$x=0$ ; $y=0$
$x=1$ ; $y=0$
$y$-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 - $A(0,0)$, $B(1,0)$
$y$-intercepts - $A(0,0)$
$(c)$ $y=x^3-x^2$
For $x$-intercept, we need to find $x$ values where $y=0$
Simplify : $y=x^2(x-1)$
$x^2(x-1)=0$
$x_1=0$
$x_2=1$
For $y$-intercept, we need to find $y$ values where $x=0$
$y=0^3-0^2=0$