f(x)=x^n , where n is a positive integer greater or equal to 2. The graph of f(x) will have an inflection point when n is

Question

A. Even
B. Odd
C. Divisible by 3
D. For all values
E. For no values

Answer 1

compare the graphs of x^2, x^3, x^4, x^5

Or, just consider the fact that an inflection point occurs when f"=0 and f' does not change sign.