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Functions

Graphing Functions by Making a Table - Example 1

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x). The input and output of a function are often real numbers, but they can also be elements of any other set for which the relation makes sense. For instance, one can define a function from the set of integers to the set of even integers, or a function from the set of people to the set of people taller than six feet. Functions of various kinds appear in many areas of mathematics and science. There are infinitely many (algebraic) functions, such as the trigonometric functions sine and cosine, and exponential function. Functions also appear in the solutions of differential equations, in the study of differential geometry, and in many other areas of mathematics.

Julie Silva

Function Notation - Example 1

Function Notation - Example 2

Function Notation - Example 3

Function Notation - Example 4

Function Notation - Overview

Graphing Functions by Making a Table - Example 1

Graphing Functions by Making a Table - Example 2

Graphing Functions by Making a Table - Example 3

Graphing Functions by Making a Table - Example 4

Graphing Functions by Making a Table - Overview

Relations and Functions - Example 1

Relations and Functions - Example 2

Relations and Functions - Example 3

Relations and Functions - Example 4

Relations and Functions - Overview

The Coordinate Plane - Example 1

The Coordinate Plane - Example 2

The Coordinate Plane - Example 3

The Coordinate Plane - Example 4

The Coordinate Plane - Overview