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

Question

3x³ -x²+4x-2

Answer 1

f(x) = 3x³ - x² + 4x - 2

 

Since f(x) is a polynomial function, the number of turning points (relative extrema) is, at most, one less than the degree of the polynomial.

 

So, for this particular function, the number of relative extrema is 2 or less.