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*}
2x-1&=0 &\text{or}& &x+1=0& &\text{or}& &x+3=0\\
2x&=1 &\text{or}& &x=-1& &\text{or}& &x=-3\\
x&=\frac{1}{2} &\text{or}& &x=-1& &\text{or}& &x=-3\\
\end{align*}
Thus, the $x$-intercepts are $-3, -1,$ and $\frac{1}{2}$.
The $y$_intercept of the function can be found by setting $x=0$ then solving for $y$:
\begin{align*}
P(0)&=-(2\cdot0-1)(0+1)(0+3)\\
P(0)&=-(-1)(1)(3)\\
P(0)&=3
\end{align*}
Thus, the $y$-intercept is $3$
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.
