# Definition of a Function Worksheets

What is the Definition of a Math Function? In mathematics, a function refers to a pair of sets, such that each element of the first set is linked with an individual element of the second set. For example, if set A contains elements X, Y, and Z and set B contains elements 1, 2, and 3, it can be assumed that every element in the set A has a separate value in the set B, as in X can be associated with 1, Y can be associated with 2, and Z can be associated with 3. While talking about a math function, it is said that every value of the set B that is linked with a value in the set A, depends upon each value of the set A. Let us dig that up in a bit detail. For instance, if a value ‘2’ in the set B is linked up with a variable ‘Y’ in the set A, that value depends upon variable Y. If Y is squared, 2 will become 4, and if Y is cubed, then 2 will become 8. This is how each value of the two sets are linked up with each other, and this is how a math function works.

• ### Basic Lesson

Demonstrates the concept of a relation and functions. Practice problems are provided.

• ### Intermediate Lesson

Given f(x) = 2x + 5 find f(6) A function is represented by f(x) = 2x + 5. To find f (6), replace the x-value with 6.

• ### Independent Practice 1

Contains 20 Definition of a Function problems. The answers can be found below.

• ### Independent Practice 2

In the graph, is this relation a function?

• ### Homework Worksheet

In the graph, is this relation a function? A relation is simply a set of ordered pairs. A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it. Example problems are provided and explained.

• ### Topic Quiz

Let's see how well you understand the materials that were presented.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Quote From: Francois le Lionnais

"Who has not been amazed to learn that the function y = ex, like a phoenix rising from its own ashes, is its own derivative?"