Question

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

a. exactly 5
b. 5 or less
c. exactly 6
d. 6 or less

Answer 1

Answer: B. 5 or less

Explanation:

The number of turning points on the graph of a polynomial function is determined by the degree of the polynomial. For a polynomial of degree "n," where n is a positive integer, the maximum number of turning points is given by "n-1."

In this case, you mentioned that the polynomial function is a sixth-degree polynomial. Therefore, the maximum number of turning points that the graph of this function can have is 6 - 1 = 5.

So, a sixth-degree polynomial function can have a MAXIMUM of five turning points on its graph.

So, your answer would be = B. (5 or less)