4. Polynomial Functions

Based on the known points plotted on the graph, determine what intervals the graph should be broken into.  

Plotted points are: $\(\left\)(-3,0\(\right\)),$$\(\left\)(0,1\(\right\)),\(\left\)(2,0\(\right\)),$ & $\(\left\)(5,0\(\right\))$

Graph the polynomial function. Determine the domain and range. $f\(\left\)(x\(\right\))=\(\left\)(3x+2\(\right\))\(\left\)(x-1\(\right\))^2$