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On the Same Coordinate Axes, Sketch the Graphs (As Accurately f(x)=x33x2x+3f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - x + 3

Question 26

Essay

On the same coordinate axes, sketch the graphs (as accurately as possible) of the functions f(x)=x33x2x+3f ( x ) = x ^ { 3 } - 3 x ^ { 2 } - x + 3 and g(x)=4x2+3x+3g ( x ) = - 4 x ^ { 2 } + 3 x + 3 . Based on your sketch, how many points do the graphs appear to intersect? Find the coordinates of all intersection points.

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