let's find their intersection points
1+x^2+x^3 = 3-x^2+x^3
2x^2 = 2
x^2 = 1
x = ± 1
if x = 1, y =1+2+1 = 3
if x = -1, y = 1 + 1 - 1 = 1
They intersect at (1,3) and (1,1)
so what is the difference between their y values ?
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.
1 answer