Answer:
See below description.
Step-by-step explanation:
The function [tex]f(x) = x^3-3x^2-4x[/tex] has the following characteristics:
- Factors: [tex]x(x+1)(x-4)[/tex]
- Zeros/roots: x=0, x=-1, amd x=4
- Positive leading coefficient
- Graph starts down and curves up through -1 on the x-axis and back down to cross through 0. It curves back up again through 4 and finished off heading into positive infinity.
- Its graph is the shape of a sideways S.
- It has a relative maximum at 1.128 and relative minimum value of -13.128
