So the question indicates: Write a statement/proof that ifwe have a point c with f′′(c) = 0, we can sometimes use the third derivative to determinewhether f has an inflection point at c, and of which type.

So, I understand how to write a statement and proof of how one can use the third derivative to determine if f has an inflection point (although only in certain cases). Now I'm not sure what the question 'and of which type' refers to. Is it referring to whether the curve goes concave up to concave down or goes concave down to concave up?