Question

PLEASE HELP 30 POINTS.

The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21)

Explain what makes this set of data a function

What could cause this set of data to not be a function? Provide a specific example to support your statement and explain thoroughly.

Answer 1

Explanation:

Note that the four input values, {3,4,6,11}, are all unique. Each has exactly one y value associated with it. This is an important criterion when we're deciding whether a relation is a function or not.

Suppose that we added one more input and its associated output:

{3,4,4,6,11}

If it happened that different values of y were associated with the two 4's, then we know immediatel that this relation is not a function.