Relations · Function

Function

Learn what a function is, explore how it can be represented, then practice solving.

What is a Function?

A special relation in which every element of the first set is related to exactly one element of the second set is called a function. If a relation is defined from set A to set B, where A and B are two non-empty sets, and every element of A has a unique (exactly one) image in B, then that relation is called a function. It is denoted by f: A → B and written as y = f(x), where x ∈ A and y ∈ B. It is read as "y is a function of x."

Example 1 of 4

Representation of a Function

Tap a button to see how a function can be represented that way.

Question 1 of 8
Step 1: Represent in a table
x
y
Fill in x, then y for each column.
Step 2: Represent algebraically

Step 3: Represent in a graph

Click on the grid to plot the points of the function.

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