Analyze the polynomial function \( f(x)=x^{3}+x^{2}-2 x \). Answer parts (a) through (e). [Hint: First factor the polynomial.] (a) Determine the end behavior of the graph of the function. The graph of f behaves like \( y=\square \) for large values of \( |x| \). (b) Find the \( x \) - and \( y \)-intercepts of the graph of the function. The \( x \)-intercept(s) is/are \( \square \). (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) The \( y \)-intercept is \( \square \). (Type an integer or a simplified fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the \( x \)-axis at each \( x \)-intercept. The zero(s) of \( f \) is/are \( \square \). (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
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