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Construct Linear and Exponential Functions

Videos and lessons to help High School students learn how to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Common Core: HSF-LE.A.2

Related Topics:
Common Core (Functions)

Common Core for Mathematics

Construct from Table

Constructing linear and exponential functions from data or table.

Construct from Graph

Constructing linear and exponential functions from graph.

Finding an Exponential Function Given Its Graph
This video teaches how to convert the graph of an exponential function into its equation. The video covers x intercepts, y intercepts, growth versus decay and other strategies that make this complicated skill much simpler.

Construct when given two points

Equation of a Linear Function Given Two Points
In this video, you are given the coordinates of two points that are on the graph of the function, and you have to find the equation of the function.

Ex: Find an Exponential Function Given Two Points - Initial Value Not Given
This video explains how to determine the equation of an exponential function in the form y=abx given two points on the function. The y-intercept or initial value is not given in this example.
Finding the Equation of an Exponential Function given two points
The basic graphs and formula are shown along with one example of finding the formula for an exponential function given two points that the function goes through.

Finding an Exponential Function given two points
In this video we determine the exponential function that goes through two given points.
Finding the Equation of an Exponential Function
How to find the equation of an exponential function given conditions like its y intercept, x intercept and horizontal asymptote. This video goes through this in a precise and easy to follow manner.


Construct from Description

Constructing and interpreting a linear function from description or word problem

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.

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