the graph of a polynomial function of degree n has, at most, ______ turning points. the graph of a…

Explanation:

Step1: Recall the relationship between degree and turning points

For a polynomial function (y = f(x)) of degree (n), the derivative (y'=f'(x)) is a polynomial of degree (n - 1).

Step2: Use the fact about the roots of the derivative

The turning - points of (y = f(x)) occur where (y'=f'(x)=0). A polynomial of degree (n-1) has at most (n - 1) real roots. Each real root of (y'=f'(x)) (where the sign of (y') changes) corresponds to a turning - point of (y = f(x)).

Answer:

(n - 1)