## Detailed description

- f(x) = 2x cubed − 3x squared + 5 with b squared − 3ac = 9, graph of cubic function, local maximum at (0,5) and local minimum at (1,4), x-intercept at (−1,0) and y-intercept at (0,5).
- f(x) = −8(x−3) cubed + 27, with b squared − 3ac = 0, graph of cubic function, point of inflection at (3,27), x-intercepts at (9 over 2,0), y-intercepts at (0,243).