WHAT IS THE DIFFERENCE BETWEEN RELATION AND A FUNCTION CITE AT LEAST 1 REAL LIFE APPLICATION&nbsp;

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WHAT IS THE DIFFERENCE BETWEEN RELATION AND A FUNCTION CITE AT LEAST 1 REAL LIFE APPLICATION&amp;nbsp;

Jazz Frenia · Accepted Answer

The difference between a relation and a function lies in their definitions and characteristics.

A relation is a set of ordered pairs that establish a connection or association between two sets of elements. It can be represented as a collection of points on a coordinate plane. In a relation, each input value (x) can be associated with one or more output values (y). The key distinction is that a relation does not necessarily require each input to have a unique output.

On the other hand, a function is a special type of relation where each input value (x) is associated with exactly one output value (y). In other words, a function establishes a unique mapping between the inputs and outputs. It means that for each x, there can be only one y.

A real-life application that demonstrates the difference between a relation and a function is the relationship between students and their grades. Let's consider a scenario where a relation is established between the names of students and their corresponding grades. In this case, a student can have multiple grades, so it forms a relation. However, if we consider a function where each student is associated with only one grade, such as assigning a final grade to a student based on their performance, it becomes a function.

To summarize, the main difference between a relation and a function is that a relation can have multiple outputs for a given input, while a function has a unique output for each input.

WHAT IS THE DIFFERENCE BETWEEN RELATION AND A

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