Question

Which relation is also a function?

Answer 1

Answer:

Step-by-step explanation:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. For example, consider the following sets X and Y.

Answer 2

When we say about relation is  a function

The given table relation is not a function

the graph relation is not a function

Given :

A relation is a function when all x values has exactly only one y value .

Each input has only one output for a function .

When x values are repeated then we can say that there is two output .

So that is not a function .

In the given table, we have x=5 repeated twice .

when x=5 there are two outputs $-3 and -2$

for x=5, there are two outputs.

The given table relation is not a function

Now we consider the graph

When x=2 , there are 2 y values $-3 \; and \; -4$

So input 2 has two output values

Hence , the graph relation is not a function

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