question 9 of 25 what is the maximum number of relative extrema contained in the graph of this function…
question 9 of 25 what is the maximum number of relative extrema contained in the graph of this function? f(x)=3x³ - x² + 4x - 2 answer here
Answer
Explanation:
Step1: Recall the rule for extrema
The number of relative extrema of a polynomial function (y = f(x)) of degree (n) is at most (n - 1).
Step2: Determine the degree of the function
The given function (f(x)=3x^{3}-x^{2}+4x - 2) is a polynomial function of degree (n = 3).
Step3: Calculate the number of relative extrema
Using the rule (n-1), we substitute (n = 3) into it. So the maximum number of relative extrema is (3 - 1=2).
Answer:
2