Answer
Refer to the graph below.
Work Step by Step
The $x$-intercepts of the function's graph can be found by equating each factor to zero then solving each equation to obtain:
\begin{align*}
x&=0 &\text{or}& &x+1=0& &\text{or}& &x-1=0& &2-x=0\\
x&=0 &\text{or}& &x=-1& &\text{or}& &x=1& &2=x\\
\end{align*}
Thus, the $x$-intercepts are $-1, 0, 1,$ and $2$.
The $y$_intercept of the function can be found by setting $x=0$ then solving for $y$:
\begin{align*}
P(0)&=0(0+1)(0-1)(2-0)\\
P(0)&=0
\end{align*}
Thus, the $y$-intercept is $0$
Create a table of values to obtain the one below.
Then, plot each ordered pair and connect the points using a smooth curve.
Refer to the graph above.
