 # 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.

Linear, Quadratic, and Exponential Models
How to tell whether the given data fits a linear, quadratic or exponential function?
Quadratic Functions and Models.

Modeling with Quadratic Functions.
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.

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