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Lesson Series

Functions

We provide the intuition behind functions and detail their mathematical properties. Examples with graphs are shown.

The

$\max$ and

We define the

$\max$ and

$\min$ functions here. The

$\max$ function returns the largest number and the

$\min$ function returns the smallest number.

The slope of a straight line is its "rise" over its "run". The value of the slope does not depend on where you calculate it.

A power function is a function of the form

$Cx^r$ where

$C$ and

$r$ are real numbers.

A polynomial is a function like

$a_nx^n+a_{n-1}x^{n-1}+\cdots+a_1x+a_0$ where

$n$ is a positive integer.

We discuss what it means for a function's range to be bounded or unbounded.

We define the composition of two functions where the results of one function are applied to another. Function composition is denoted by

$(f\circ g)(x)$ and is equal to

$f(g(x))$ .

The Factorial Function is denoted by

$n!$ and means we multiply the numbers

$1$ through

$n$ together.