Homework SourseSuppose that the second derivative of the function y fx is
Suppose that the second derivative of the function y = f(x) is y\'\' = (x - 5)(x + 6). For what
x-values does the graph of f have an inflection point?
x-values does the graph of f have an inflection point?
Solution
inflection points occur at x = 5 and x = -6. Inflection points occur when the curve changes from concave up to concave down, or vice-versa. This is determined by setting the second derivative equal to zero. Since you have given the second derivative, inflection points occur at x = 5 and x = -6.
