Question

question 2 of 10
what is the maximum number of possible extreme values for the function,
$f(x) = x^3 - 7x - 6$
a. 2
b. 3
c. 1
d. 4

Explanation:

Step1: Identify function degree

The function $f(x) = x^3 - 7x - 6$ is a cubic polynomial with degree $n=3$.

Step2: Apply extreme value rule

The maximum number of extreme values of a polynomial is $n-1$. For $n=3$, this is $3-1=2$.

Answer:

A. 2