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Linear and Non-Linear Functions





 

Videos and lessons to help Grade 8 students learn how to interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. 

For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

Common Core: 8.F.3

Suggested Learning Targets


  • I can recognize that a linear function is graphed as a straight line represented as an
    equation in the form y = mx + b.
  • I can recognize the equation y=mx+b is the equation of a function whose graph is
    a straight line where m is the slope and b is the y-intercept
  • I can provide examples of nonlinear functions using multiple representations
    (tables, graphs, and equations).
  • I can compare the characteristics of linear and nonlinear functions using various
    representations.


Related Topics:
Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

Interpret the equation y = mx + b as defining a linear function--Lesson 1 of 4 (Common Core 8.F.3)
In this lesson you will learn how to recognize a linear function by examining the four representations of a function.





Interpret the equation y = mx + b as defining a linear function--Lesson 2 of 4 (Common Core 8.F.3)
In this lesson you will learn how to describe the rate of change in a linear function by using the four representations.


Interpret the equation y = mx + b as defining a linear function--Lesson 3 of 4 (Common Core 8.F.3)
In this lesson you will learn how to identify a linear function relation by analyzing characteristics of a linear function.



 

Interpret the equation y = mx + b as defining a linear function--Lesson 4 of 4 (Common Core 8.F.3)
In this lesson you will learn how to describe the y-intercept of a linear function by examining the four representations of a function.


8.F.3 - Identify Linear Functions.




8.3 Representing linear functions.


Linear or Non-Linear Functions.



 

Non Linear Functions 8.F.3
In this common core example, we look at non linear functions through the structure of an equation, table and graph.


Linear & Nonlinear Functions
Identify functions using tables, graphs or equation.




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 widget 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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