Question

How to describe something that is either a relation or a function? a) A relation can have multiple outputs for the same input, while a function cannot. b) A function can have multiple outputs for the same input, while a relation cannot. c) Both relations and functions have a one-to-one correspondence between inputs and outputs. d) Relations and functions are the same thing.

Answer 1

A relation can have multiple outputs for the same input, while a function cannot

Step-by-step explanation:

In mathematics, a relation is a set of ordered pairs that relate elements from one set to elements of another set. It can have multiple outputs for the same input. On the other hand, a function is a special type of relation where each input has only one output. In other words, a function has a one-to-one correspondence between inputs and outputs.

For example, consider the set of ordered pairs {(1, 2), (1, 3), (2, 4)}. This is a relation since it relates the input values 1 and 2 to multiple output values 2, 3, and 4. However, it is not a function because the input 1 has multiple outputs.

Option a) A relation can have multiple outputs for the same input, while a function cannot accurately describes the difference between a relation and a function.

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