Question 1176819
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Moving let to right....<br>
odd degree with negative leading coefficient: the graph goes to +infinity for large negative values.<br>
root of multiplicity 4 at x = -3: the graph touches the x-axis at x = -3 but stays positive; and it is very flat near there.<br>
root of multiplicity 1 at x = 0: the graph crosses the x-axis (from positive to negative) at x=0.<br>
root of multiplicity 2 at x = 3: the graph just touches the x-axis at x = 3 and stays negative.<br>
odd degree with negative leading coefficient: the graph goes to -infinity for large positive values.<br>
Put it all together....<br>
{{{graph(1200,400,-5,5,-50,50,-((x+3)^4)(x)(x-3)^2)}}}<br>