Question

Let f’’(x) = x(x+2). True or false: isThe point x = -2 an inflection point of f(x)?

Answer 1

True!

Explanation:

A point of inflection occurs when the curvature of a function changes. Curvature is described by the second derivative of a function. Therefore, when the second derivative is equal to 0, then the curvature is changing, and an inflection point is identified.

The two inflection points that can be calculated from the function above are at `x=0` and `x=-2`, showing that the answer is True.