Question

Find the points of inflection. f(x)=7 x³ +2 x+7

A) (2,0)
B) (0,7)
C) (0,2)
D) (7,0)

Answer 1

The points of inflection for the given function f(x) = 7x³ + 2x + 7 are (0,7).

Step-by-step explanation:

The function f(x) = 7x³ + 2x + 7 is a cubic function. To find the points of inflection, we need to determine where the concavity of the function changes. This occurs when the second derivative of the function equals zero. The second derivative of f(x) is f''(x) = 42x. Setting this equal to zero, we find x = 0. So, the point of inflection is (0, 7).