It would help you if you say why you chose B.
An inflection point is the point (x,f(x)) such that f"(x) [i.e. second derivative) equals zero.
f(x)=x^n
f'(x)=nx^(n-1)
f"(x)=n(n-1)x^(n-2)
So solve for
f"(x)=0 when n is odd, say n=3, 5, 7...
and solve for
f"(x)=0 when n is even, say n=2,4,6...
and make your conclusion accordingly.
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
A. Even
B. Odd
C. Divisible by 3
D. For all values
E. For no values
I got B.
2 answers
Even? when plug n numbers into formula
1 answer