Determine the maximum possible number of turning points for

Determine the maximum possible number of turning points for the graph of the function. f(x) = (x + 7)(x - 1)(x + 3)(x -4) 0 3 1 4

Solution

If f is a polynomial function of degree n, then there is at most n - 1 turning points on the graph of f.

given f(x) = (x+7)(x-1)(x+3)(x-4)

the function has degree n = 4 ,then maximum number of turning points for graph of function is 3