Question

Is this table a function?

x y
2 1
2 4
3 4
4 2
5 5

Answer 1

A function is a relationship between two sets of values, usually called the input and the output, that follows two rules:

Every input has exactly one output.

No two different inputs have the same output.

To check if a table represents a function, we can look at the values of the input and output columns and see if they follow these rules.

In the table you provided, the input values are in the x column and the output values are in the y column. We can see that:

The input value 2 has two different output values: 1 and 4. This violates the first rule, because every input should have exactly one output.

The output value 4 has two different input values: 2 and 3. This violates the second rule, because no two different inputs should have the same output.

Therefore, this table is not a function, because it does not follow the rules of a function.

Answer 2

No, the table provided is not a function.

Explanation:

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

In other words, for each input value, there can only be one output value.

In the table provided, the input value 2 has two different output values, 1 and 4.

This means that the table does not satisfy the definition of a function.

Therefore, the table provided is not a function.