Polynomials

Detailed description

1. f(x) = x cubed − x, graph of cubic function, local maximum in quadrant 2, local minimum in quadrant 4, passes through (0,0), 3 x-intercepts.
2. f(x) = x cubed, graph of cubic function, point of inflection at the origin.
3. f(x) = x cubed + x, graph of cubic function, no stationary point.