## Detailed description

- f(x) = x to power 4, graph of quartic function, local minimum at (0,0).
- f(x) = x to power 4 − 4x cubed − x squared + 10x, graph of quartic function, vertical axes of symmetry through (1,6), local minimums at (one half(2 − root 14), − 25 over 4) and (one half (2 + root 14), − 25 over 4), x-intercepts at (1 − root 6, 0), (0,0), (2,0), (1 + root 6, 0).