well-behaved function

noun
UK /ˌwel bɪˈheɪvd ˈfʌŋkʃən/
US /ˌwel bɪˈheɪvd ˈfʌŋkʃən/

A well-behaved function is a math rule that is smooth and does not jump or break.

The teacher said the graph of a well-behaved function looks like a smooth, unbroken line.


OTHER MEANINGS

2. A function that is continuous and has derivatives wherever needed.

In calculus class, we only use well-behaved functions so the derivative always exists.

3. A function that does not blow up or oscillate wildly.

The engineer chose a well-behaved function to model the gentle curve of the bridge.

4. A function that satisfies all the conditions of a theorem.

The proof works because the well-behaved function meets every condition of the theorem.