For a function, can the number of elements in the range be greater than the number of elements in the domain ?
Are either of these statements true or false ? All relations are functions. All functions are relations.
Are either of these statements true or false ? All relations are functions. All functions are relations.
-
Not all relations are functions. If there are two same x values with different y values(or vice versa), then for sure it is not a function. So, the statement that "All relations are functions" is False.
"All functions are relations" is true, because it is already a function contains that the members have some kind of relationship between them.
The number of elements in the range cannot be greater than the number of elements in the domain. But make sure that you limit the codomain. Codomain is all the possible outcomes, while range is the actual outcome.
"All functions are relations" is true, because it is already a function contains that the members have some kind of relationship between them.
The number of elements in the range cannot be greater than the number of elements in the domain. But make sure that you limit the codomain. Codomain is all the possible outcomes, while range is the actual outcome.