## Function vs. Relation: Simple Breakdown of the Differences

Functions are relations that connect one set of inputs to another set of outputs.

To understand the difference between a relation that is not a function and a relationship that is. Some relations are not functions. A function has a single input for a single output while a relation can have many outputs for a single input. This is the most important factor to consider when differentiating between relation and function. Those model concepts are formed because of relations. A sense of meaning like ‘greater than’ or ‘is equal to’ can be found in relations.

## What IS function and relation in math?

A function is a rule that relates every element in one set, called the domain, to exactly one element in another set, called the range, in mathematics.

## What is the difference between set relation and function?

The function is a relation between the input elements and the output elements. There will be one output element in set B for every element in set A. This example shows us that set A and set B can’t have many relations. We have to satisfy two conditions in order to quantify as a function.

## What makes a graph a relation?

A visual representation of a relation on a rectangular plane is called a graphA. A relation is defined by a curve graphed on a rectangular plane.

## What’s the difference between a function and a relation?

The range and domain are inputs for both functions and relations. You can have more than one element in the range for any relation.

## What is the difference between a relation and a function example?

It is a collection of ordered pairs of quantities that have objects from one set to another. A relation can be defined as a group of ordered pairs. The relation examples are (1, 5), (1, 6), (3, -8), and (3, -7).