1.1 Mathematical Modeling

Mathematical terms and definitions from notes

Mathematical Model

A mathematical structure that represents a real-life situation (like a graph or table)

Numerical Model

A set of numbers or data normally in a list or table

Algebraic Model

An equation or formula

Graphical Model

Visual representation of a situation as a graph

Function

A function describes a relationship between an independent and dependent variable (each having exactly one output)

Independent Variable

the variable that changes on its own and will influence the other variable

Dependent Variable

The variable that happens as a result of the independent variable

Domain

all possible x-values (input)

Relevant Domain

Domain that fits the situation (normally limited)

Range

All the possible y-values (outputs)

Interval Notation

uses brackets (end points included) or parentheses (end point not included)

Inequality Notation

uses less than, greater than, less than or equal to, or greater than or equal to.

Function Notation

f(a)=b, where a is the input and b is the output. (To evaluate a function, find the output for a given input)