Perform an analysis, as directed, for the following polynomial function: f(x) = (x-1) (x-2)^2

a:Find the end behavior and explain how it was done.

b.Find the x-intercept(s) and show how it was done.

c. Find the y-intercept(s) and show how it was done.

d.List intervals determined by the x-intercepts.

e.Select at least one x-value in each interval and show how it indicates if the graph is positive or negative within that interval.

f.Use the results you found to sketch the graph of the function. Use dashed lines to show the intervals.