Representation of functions — lesson. Mathematics State Board, Class 10.

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We can represent a function in four ways, namely:

1. Set of ordered pairs

2. Table form

3. Arrow diagram

4. Graph

1. Set of ordered pairs

In a function

$f : A \rightarrow B$ , the set of ordered pairs

$f =$

$\{(x, y) | y = f(x), x \in A\}$ is a function.

Example:

The number and its square can be represented using ordered pairs as:

$\{(1, 1), (2, 4), (3, 9), (4, 16),...\}$

2. Table form

We can also represent the functions in the table form. Again, the preimages are on one side, while the images are on the other side.

Example:

Let us look at the same example of numbers and their squares in the table form.

3. Arrow diagram

The arrow diagram has the elements of the domain

$f$ and their corresponding images connected by arrows.

Example:

Let us look at the numbers and their squares in the form of an arrow diagram.

4. Graph

We can also plot the elements of

$f$ and their corresponding images on the graph.

Example:

Let us look at the example of numbers and their squares on a graph.

An equation given on the graph is also called a curve.

Did you find an error?

1. Representation of functions