Question

What is the maximum number of turns in the graph of

f(x)=2x³-2x²+7x-25(?)

Answer 1

In general, if the degree is n, then there are n-1 maximum turns on the graph.


In the case of f(x) = 2x³-2x²+7x-25, the degree is n = 3 and n-1= 3-1 = 2


So at most, there are 2 turns on the graph.

Answer 2

Cubic hold this general patern