Question

What is the maximum number of turns in the graph of f(x)=2x^3-2x^2+7x-25 ?

Answer 1

maximum number of turns in a cubic equation is always 2

the maximum number of turns will always be equal to one less degree of the poly
hope this helps

Answer 2

Answer:

The maximum number of turns in the graph of f(x) is:

                                2

Step-by-step explanation:

Turning Point of a graph--

The turning point of a graph is a point where the graph changes it's behavior i.e. it changes from increasing to decreasing and from decreasing to increasing.

The polynomial of degree n has atmost " n-1 " turning points.

Here we are given a polynomial f(x) as:

$f(x)=2x^3-2x^2+7x-25$

The polynomial is of degree 3.

Hence, the maximum number of turning points of the function f(x) is: 3-1=2