Question

How do you know whether a relation is a function?(1 point)

1. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.
2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
3. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly two elements of the range.
4. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.

Answer 1

2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.

Explanation:

A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point.

Answer 2

• 2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.

Explanation:

• A function is a special relationship where each input has a single output.

Answer options, incorrect statements are underlined below:

1. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.

• Incorrect.

2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.

• Correct.

3. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly two elements of the range.

• Incorrect.

4. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.

• Incorrect