Question

which function can be used to solve x^3-x=2x^2-2 by graphing?

f(x)=x^3-2x^2-x+2
f(x)=x-2
f(x)=x^3+2x^2-x-2
f(x)=2x^5-4x^3+2x

Answer 1

Rearrange to one side: x^3 - x - (2x^2 - 2) = x^3 - 2x^2 - x + 2.

So the correct choice is f(x) = x^3 - 2x^2 - x + 2. Setting f(x)=0 and graphing finds the solutions. (Factoring: f(x) = (x-2)(x-1)(x+1), so x = 2, 1, -1.)