Analyze the polynomial function

f(x)equals=x squared left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis x2(x−2)(x+2)

using parts (a) through (e).

a) Determine the end behavior of the graph of the function.

The graph of f behaves like

yequals=nothing

for large values of

StartAbsoluteValue x EndAbsoluteValuex.

(b) Find the x- and y-intercepts of the graph of the function.

The x-intercept(s) is/are

nothing.

(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer onlyonce.)

The y-intercept is

nothing.

(Simplify your answer. Type an integer or a fraction.)