(a) List each real zero and its multiplicity (b)Determine whether the graph cros

Question

(a) List each real zero and its multiplicity (b)Determine whether the graph crossed or touches the x-axisat each x intercept (c)determine the behavior of the graph near eachx-intercept (d) determine the maxmum number of turning points (e) determine the end behavior F(x)-4x(x2-3) (a) List each real zero and its multiplicity (b)Determine whether the graph crossed or touches the x-axisat each x intercept (c)determine the behavior of the graph near eachx-intercept (d) determine the maxmum number of turning points (e) determine the end behavior F(x)-4x(x2-3)

Explanation / Answer

PART A>>>    set f(x) = 4x(x2 - 3) = 0 to find the zeros orroots.   The roots are x = 0, 3 , and -3 .   Each of these has a multiplicity ofone. PART B>>>   The graph crosses the x-axis ateach of the three values listed in Part a. PART C>>>>    The graph isdecreasing rapidly near x = 0. The graph is increasing rapidly near x = -3 , andalso increasing rapidly near x = 3 . PART D>>>   The max number of turningpoints is two. PART E>>>    f(x) goes to + infinityto right of x = 3 and goes to negativeinfinity to left of x = - 3

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