## Detailed description

- f(x) = x to power 4 + 1, graph of quartic function, local minimum at (0,1).
- f(x) = (x − 1)(x+2)(x − 3)squared, local minimums at (−1,−32) and (3,0), local maximum at (7 over 4, 1125 over 256), x-intercepts at (−2,0), (1,0), and (3,0), y-intercepts at (0, −18).