Question

Create two tables with at least four coordinates each. In the first table, choose coordinates that make the relation a function. In the second table, choose coordinates that don't make the relation a function. Explain in complete sentences how you determined which coordinates would define a function and which coordinates would not.

Answer 1

9514 1404 393

Answer:

• function: (1, 98), (2, 98), (3, 2), (4, -86)
• not a function: (1, 98), (2, 98), (3, 2), (3, -86)

Explanation:

A relation that is a function has unique x-values. A relation that is not a function has at least one x-value that is repeated. The y-values do not need to be unique in either case, except that a repeat of the same (x, y) pair does not disqualify a relation from being a function.

In the table shown above, the non-function has the x-value of 3 repeated with different y-values.