5.6.3 quiz: graphing polynomial functions\nquestion 2 of 10\nwhat is the maximum number of possible extreme…

5.6.3 quiz: graphing polynomial functions\nquestion 2 of 10\nwhat is the maximum number of possible extreme values for the function,\n$f(x)=x^{3}-7x - 6$?\na. 2\nb. 4\nc. 3\nd. 1

5.6.3 quiz: graphing polynomial functions\nquestion 2 of 10\nwhat is the maximum number of possible extreme values for the function,\n$f(x)=x^{3}-7x - 6$?\na. 2\nb. 4\nc. 3\nd. 1

Answer

Explanation:

Step1: Recall the formula for the maximum number of extreme values

For a polynomial function (y = f(x)) of degree (n), the maximum number of extreme values is (n - 1).

Step2: Determine the degree of the given polynomial

The given function is (f(x)=x^{3}-7x - 6). The highest power of (x) is (3), so the degree (n = 3).

Step3: Calculate the maximum number of extreme values

Using the formula (n-1), substitute (n = 3). Then (n - 1=3 - 1=2).

Answer:

A. 2