Function Lesson in Math

We will see many ways to think about functions, but there are always three main parts:

The input

The relationship

The output

x2 (squaring) is a function

x3+1 is also a function

Sine, Cosine and Tangent are functions used in trigonometry

and there are lots more!

The Function Grapher can only handle explicit functions,

The Equation Grapher can handle both types (but takes a little longer, and sometimes gets it wrong).

a function relates inputs to outputs

a function takes elements from a set (the domain) and relates them to elements in a set (the codomain).

all the outputs (the actual values related to) are together called the range

a function is a special type of relation where:

every element in the domain is included, and any input produces only one output (not this or that)

an input and its matching output are together called an ordered pair so a function can also be seen as a set of ordered pairs