Question

In the relation in the table below, write a value that will make the relation not represent a function

Input 3 5 8 ?
Output 1 2 3 4

Answer 1

A function should not have the same output for different inputs. To make the relation in the table not represent a function, one can repeat an existing input value (3, 5, or 8) for the '?' input, as this would result in a repeated output for different inputs.

Step-by-step explanation:

The question is asking to write a value in the input column of the relation that will make the relation not represent a function. A function, in mathematics, is a relation in which each input is related to exactly one output. In the given table, the outputs for the inputs 3, 5, and 8 are 1, 2, and 3 respectively. Since the last output given is 4, to make the relation not represent a function, we need to have a repeating output for a different input. Therefore, to answer the question, if we put any of the existing input numbers (3, 5, or 8) as the value for the '?' input, the relation would repeat an output for different inputs, thereby making it not a function. An example value to make the table not represent a function could be '3' or '5' or '8' for the '?' input.