In this problem, we will make a rough sketch of the graph of the polynomial: $$f(x) = x(x+3)(x-2)^2$$ First, we know that the $x$-intercepts are at $x=0\text{,}$ $x=-3$ and $x=2\text{.}$ Next, in expanded form, the leading term would be $x^4\text{.}$ This tells us the end-behavior of the graph. Finally, the multiplicity of the roots tells us whether the graph crosses or bounces off of the $x$-axis. In the graph below, use the slider to show steps for graphing this function.