Question

Describe the end behavior of the function f(x) = -x3 – 15x4 + 68x - 96. What is the maximum number of turns the graph can have

Answer 1

The function in its most informative form can be wriiten as

`-15x^4-x^3+68x-96`

The polynomial we see is of 4th order; therefor, it must cross the