1. Sketch the graph of f (x) = x^4 - 4x^3 - x^2 + 12x -2. Identify the extreme values.
2. Sketch the graph of h(x) = x^2 - 3x - 4/ x - 4
Label any important features. State the domain and range.
3. Divide, using long division:
(4x^4 - 5x^3 + 2x^2 - x+5)/(x^2 + x+1)
4. Divide, using synthetic division:
16x^3 + 80x^2 + x +5/ x+5
5. Determine the equations of the asymptotes:
g(x) = 2x^2 + 1/x +3
6. Use Descartes' rule of signs to describe the roots of
h(x) = 4x^4 - 5x^3 +2x^2 -x+5