Make a mapping diagram for the relation 2 6 0 3 1 5 5 0


Introduction


In mathematics, a binary relation on a set A is a subset of the Cartesian product A2. That is, it is a set of ordered pairs (a, b) consisting of elements of A. In other words, it is a subset of the product space A2.

Binary relations are used to model various types of situations. If a binary relation R is such that each element of A is related to at most one element of B, then R is called a function.

What is a mapping diagram?


A mapping diagram is a way to represent a function. It shows what inputs go to what outputs. You can use a mapping diagram to plan out your function, or to test it once you’ve already written it.

To make a mapping diagram, you’ll need a list of inputs and outputs. For each input, there should be exactly one output. You can then draw a arrow from each input to its corresponding output.

You can also use mapping diagrams to represent relations. A relation is just a set of ordered pairs, like (2, 6), (0, 3), (1, 5), (5, 0). To represent a relation with a mapping diagram, simply draw an arrow from each input to its corresponding output.

How to make a mapping diagram for the relation 2 6 0 3 1 5 5 0

A mapping diagram is a way of representing a function or relation between two sets, usually denoted as {x, y}. In the case of a function, there is a one-to-one correspondence between the elements in set x and the elements in set y. A mapping diagram can be helpful in visualizing this correspondence.

To make a mapping diagram for the relation 2 6 0 3 1 5 5 0, we first need to list out all the elements in each set. For set x, we have {2, 6, 0, 3, 1, 5}. For set y, we have {5, 0, 3, 1, 2, 6}.

Then, we need to match up each element in set x with the corresponding element in set y. In this case, we would match 2 with 5, 6 with 0, 0 with 3, 3 with 1, and so on. We can represent this match-up using a table or other type of chart.

Once we have our table or chart completed, we can then draw our mapping diagram. To do this, we simply connect each element in set x with the corresponding element in set y using a line or arrow. In our example diagram below, we’ve used arrows to show the correspondence between the elements in each set.

As you can see from our example mapping diagram, there is a one-to-one correspondence between the elements in sets x and y. This means that our relation is actually a function!

Conclusion


The mapping diagram for the relation 2 6 0 3 1 5 5 0 is shown below.

Mapping Diagram

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