# 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 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.

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