Mathematical models

Definition

Mathematical models are representations of real-world phenomena using mathematical expressions and concepts. They help in understanding, explaining, and predicting behaviors within a given context.

5 Must Know Facts For Your Next Test

1. Mathematical models use functions to describe relationships between variables.
2. Linear, quadratic, polynomial, exponential, and logarithmic functions are common types used in models.
3. Graphing these functions helps visualize the relationship they represent.
4. Parameters within a model can be adjusted to fit real-world data more accurately.
5. Differentiation and integration can be used to analyze the behavior of these models.

Review Questions

• What is the purpose of using mathematical models?
• Name three types of functions commonly used in mathematical models.
• How can graphing a function help in understanding a mathematical model?

Related terms

Function:

A relation between a set of inputs and a set of permissible outputs.

Graph: A visual representation of the relationship between variables in a function.

Polynomial Function:

A function that is represented by a polynomial equation, such as $f(x) = ax^n + bx^{n-1} + ... + k$.