Practice problem 1: For the polynomial function t(x) =6 (x* + 4) "(x-5) answer the following questions. For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine whether the (@) List each real zero and its multiplicity. graph crosses or touches the x-axis at each x-intercept (c) Determine the maximum number of turning (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. points on the graph. (d) Determine the end behavior, that is, find the power function that the graph of (c) Determine the maximum number of turning points on the graph resembles for large values of |X. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x]. 1()=(x-9/(x +512 For the polynomial function I(x) = (4x2+9)(x2+7), answer the following questions. 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 tuming (a) List each real zero and its multiplicity. points on the graph. (d) Determine the end behavior, that is, find the power function that the graph of f (b] Determine whether the graph crosses or touches the x-axis at each x-intercept resembles for large values of | x. [c) Determine the maximum number of turning points on the graph. (d) Dotormino the and bohavior, that is, find the power function that the graph of f resembles for large 1(x) = - 9x2(x2-2) values of x Determine the following for the following problem. Graph the polynomial function f(x) = 12x" + 64x* + 64x . Answer parts (a) through (e). Analyze the polynomial function f(x) = (x + 1)(x - 4)(x + 6) using parts (a) through (e). Analyze the polynomial function f(x) = (x +4)"(x - 7)" using parts (a) through (e). Analyze the polynomial function f(x) = 2x (x - 9) (x + 4) using parts (a) through (e). Analyze the polynomial function f(xx) =x (x - 5) (x +3) using parts (a) through (e). Analyze the polynomial function f(x) =x" -x. Answer parts (a) through (e). [Hint: First factor the polynomial.] Analyze the polynomial function f(x) =x*+4x - 12x. Answer parts (a) through (e). [Hint: First factor the polynomial.] Graph the polynomial function f(x) = 12x + 64x" + 64x . Answer parts (a) through (e)