SOLUTION: The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple points. Find the maximum difference between the y-coordinates of these intersection points.

SOLUTION: The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple points. Find the maximum difference between the y-coordinates of these intersection points.

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Question 1029546: The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple points. Find the maximum difference between the y-coordinates of these intersection points.
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!

, a parabola with vertex as a maximum, something which is wanted. This maximum will be in the exact middle of the two zeros of d(x).

The vertex x-coordinate is therefore at .

Question is find the maximum difference between the two, or, evaluate d(x) for .

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