SOLUTION: What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect?
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Question 1029886: What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x^3-x^2+x+1=x^3+x^2+x-1; they intersect where they are both equal
-2x^2=-2
x^2=1
x=+/- 1. When x=-1, y=-2; when x=1, y=2
(1,-2) and (1,2)
Check
1: 1-1+1+1=2 and that equals 1+1+1-1=2
-1: -1-1-1+1=2 and that equals -1-1+1-1=-2
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