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In 45-56, for each polynomial function: (a) List each

Chapter , Problem 5.1.49

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QUESTION:

In 45-56, 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 behavior of the graph near each x-intercept. (d) Determine the maximum number of turning points on the graph. (e) Determine the end behavior; that is, find the power function that the graph off resembles for large values of Ixl . f(x) = -2 (x + 1)2 (x2 + 4)2

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QUESTION:

In 45-56, 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 behavior of the graph near each x-intercept. (d) Determine the maximum number of turning points on the graph. (e) Determine the end behavior; that is, find the power function that the graph off resembles for large values of Ixl . f(x) = -2 (x + 1)2 (x2 + 4)2

ANSWER:

Step 1 of 6

(a)

Consider the given function.

                                                       

Solve  to find .

                                                             

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