Find the following for the function

f(x)equals=left parenthesis x plus 6 right parenthesis squared left parenthesis x minus 2 right parenthesis squared(x+6)2(x−2)2.

(a) Find the x- and y-intercepts of the polynomial function f.
(b) Determine whether the graph of f crosses or touches thex-axis at each x-intercept.
(c) Find the power function that the graph of f resembles for large values of StartAbsoluteValue x EndAbsoluteValue .x.
(d) Determine the maximum number of turning points on the graph of f.
(e) Determine the behavior of the graph of f near eachx-intercept.
(f) Put all the information together to obtain the graph of f.