Similarities and differences between mathematical functions and mappings in senior high schools

Mapping: There are two sets A and B. For each element in set A,

There are unique elements in set B, so this correspondence is called from set A to set.

Atlas of compound b

Function: If A and B are sets of two non-null numbers, then the mapping from set A to set B is a set.

Functions from a to set b

Similarities and differences: the function from set A to set B is the mapping from set A to set B, but the mapping is not necessarily a function.

Difference ① For a function, A and B must be non-empty sets, so mapping is not needed.

② For a function, A and B must be a set of numbers, so there is no need for mapping.