Question

topic 5 overview: practice
level 2: fill in the blanks/answer the questions

1. what type of notation do you use to identify concavity?
2. a point where the concavity of a function changes is called an ________ point.

Explanation:

1. The second - derivative notation is used to identify concavity. If \(f''(x)>0\), the function is concave up; if \(f''(x)<0\), the function is concave down.
2. A point where the concavity of a function changes is called an inflection point.

Answer:

1. Second - derivative notation
2. Inflection