Graph the polynomial function \( f(x)=(x+4)(x-1)(x+6) \) using parts (a) through (e). The \( y \)-intercept is -24 . (Simplify your answer. Type an integer or a 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 \( -4,1,-6 \). (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The least zero is a zero of multiplicity 1 , so the graph of \( f \) crosses the \( x \)-axis at \( x=-6 \). The middle zero is a zero of multiplicity 1 , so the graph of \( f \) crosses the \( x \)-axis at \( x=-4 \). The greatest zero is a zero of multiplicity 1 , so the graph of \( f \) crosses the \( x \)-axis at \( x=1 \). (d) Determine the maximum number of turning points on the graph of the function. \( \square \) (Type a whole number.)
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