1. Given the polynomial f(x) = (x – 4)3 (x + 3)2 (x – 9) a. Find the zeros of the expression, and their multiplicities b. At each zero, determine whether the graph crosses the x-axis, or merely touches

1. Given the polynomial f(x) = (x – 4)3 (x + 3)2 (x – 9)

a. Find the zeros of the expression, and their multiplicities

b. At each zero, determine whether the graph crosses the x-axis, or merely touches the x-axis and bounces off

c. Find the maximum number of turning points

d. Find the power function, and use it to characterize the function’s end behavior

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1. Given the polynomial f(x) = (x – 4)3 (x + 3)2 (x – 9) a. Find the zeros of the expression, and their multiplicities b. At each zero, determine whether the graph crosses the x…

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