you are given the following graph of the function f(x):\nfind the x - value of the point where the second…

you are given the following graph of the function f(x):\nfind the x - value of the point where the second derivative changes sign from negative to positive.\nx =

you are given the following graph of the function f(x):\nfind the x - value of the point where the second derivative changes sign from negative to positive.\nx =

Answer

Explanation:

Step1: Recall the property of second - derivative sign change

The second - derivative (f''(x)) changing sign from negative to positive indicates a point of inflection where the concavity of the function (y = f(x)) changes from concave down (where (f''(x)<0)) to concave up (where (f''(x)>0)).

Step2: Analyze the graph

Looking at the graph of the function (y = f(x)), we observe the (x) - value at the point of inflection.

Answer:

(x = 0)