Answer:
See below description.
Step-by-step explanation:
The function [tex]f(x) = x^4+x^3-2x^2[/tex] has the following characteristics:
- Factors: [tex]x^2(x+2)(x-1)[/tex]
- Zeros/roots: x=0, x=-2, amd x=1
- Positive leading coefficient
- Graph starts up, curves down through -2 on the x-axis and back up to 0 where it touches and curves down and back up again again. It comes down back through 1 and crosses.
- Its graph s the shape of a W.
- It has minimum values at -2.83 and -0.397
