Polynomials

Detailed description

1. f(x) =−x cubed + x, graph of cubic function, local minimum in quadrant 3, local maximum in quadrant 1, 3 x-intercepts.
2. f(x) =−x cubed, graph of cubic function, stationary point of inflexion at origin.
3. f(x) =−x cubed −x, graph of cubic function, no stationary points.