Question

PLEASE HELP !

what is the maximum number of relative extrema contained in the graph of this function?

f(x) = 3x^5-x^3+4x-2

Answer 1

So, the maximum number of relative extrema that the function can have is 4. Please check the explanation below to help you remember the steps.

Explanation:

The maximum number of relative extrema for a polynomial function is one less than the degree of the function.

The degree of the function f (x) = 3x^5 - x^3 +4x - 2 is 5

Therefore, the maximum number of relative extrema is 5 - 1 = 4

So, the maximum number of relative extrema that the function can have is 4.