Final answer:
The name 'poly-lagrange' cannot be used as a function name because it contains a hyphen, which is against the conventions of function naming in many programming languages.
Step-by-step explanation:
The question asks which of the given choices cannot be used as a function name. In many programming languages, there are specific rules that determine what can and cannot be used as identifiers, which include function names. Generally, function names must start with a letter or an underscore, cannot contain spaces, and cannot be a reserved keyword in the programming language being used.
Based on these general rules:
- division : Possible function name, provided it is not a reserved keyword.
- poly-lagrange : Not possible as a function name because it contains a hyphen, which is not allowed in function names.
- nonlinear : Possible function name, assuming it is not a reserved keyword.
- velocity : Possible function name, provided it is not a reserved keyword.
Therefore, poly-lagrange cannot be chosen as a function name because it includes a hyphen, which is not typically allowed in function names across many programming languages.