Question

If a function has a second derivative of f′′(x)=x2−10x+16 and two inflection points, what are their x-values?

A. (2,8)
B. (4,6)
C. (6,4)
D. (8,2)

Answer 1

The x-values of the inflection points are 2 and 8.

Step-by-step explanation:

To find the x-values of the inflection points, we need to determine the values of x that make the second derivative equal to zero. Given f''(x) = x^2 - 10x + 16, we set x^2 - 10x + 16 = 0. Solving this quadratic equation, we find that the roots are x = 2 and x = 8. Therefore, the x-values of the inflection points are (2,8).