# Modeling Functions

Videos and lessons to help High School students understand how a function models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

Common Core: HSF-IF.B.4
Modeling- Linear Functions, Quadratic Functions, Exponential Functions PT 1
Determining if data fits a Linear, Quadratic, or Exponential Model by graphing the data or finding patterns in the data.
Choose a model by graphing or choose a model by finding a pattern.
Example: Distance traveled by an airplane.
Modeling- Linear Functions, Quadratic Functions, Exponential Functions PT 2
Examples: Height of a watermelon dropped from a tall building, Population of rabbits.

How to tell whether the given data fits a linear, quadratic or exponential function?

Ex: Find the Equation of a Quadratic Function from a Graph
This video explains how to determine the equation of a quadratic function from a graph. It used the standard form of a quadratic function and then write the standard form in general form.

Characteristics of Exponential Functions.
Modeling the equation of a piecewise defined function from its graph.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.