Question

webwork 4 - topics 8 - 9: problem 8
(1 point)
you are given the following graph of the function f(x):
find the point where the second derivative changes sign from negative to positive?
x=

Explanation:

Step1: Recall the concept of inflection points

The second derivative \(f''(x)\) changes sign at inflection points. If \(f''(x)\) changes from negative to positive, the function changes from concave - down to concave - up.

Step2: Analyze the graph

Looking at the graph of \(y = f(x)\), we identify the point where the concavity changes from concave - down (where \(f''(x)<0\)) to concave - up (where \(f''(x)>0\)).

Answer:

\(x = 0\)