For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|. f(x) = (x - 3)^3(x + 1)^2 (a) (b) (c) (d)
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For each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the $x$ -axis at each $x$ -intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of fresembles for large values of $|x|$. $$ f(x)=\left(x-\frac{1}{3}\right)^{2}(x-1)^{3} $$
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Polynomial Functions and Models
For each polynomial function: (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the $x$ -axis at each $x$ -intercept. (c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of fresembles for large values of $|x|$. $$ f(x)=-2\left(x^{2}+3\right)^{3} $$
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