Lesson OVERVIEW of lessons on plotting functions with Linear Terms under the Absolute Value sign

Algebra ->  Absolute-value -> Lesson OVERVIEW of lessons on plotting functions with Linear Terms under the Absolute Value sign      Log On


   

This Lesson (OVERVIEW of lessons on plotting functions with Linear Terms under the Absolute Value sign) was created by by ikleyn(52781) About Me : View Source, Show
About ikleyn:

OVERVIEW of lessons on plotting functions with Linear Terms under the Absolute Value sign


This lesson is a collection of plots from the lessons
    How to plot functions containing Linear Terms under the Absolute Value sign. Lesson 1,
    How to plot functions containing Linear Terms under the Absolute Value sign. Lesson 2 and
    How to plot functions containing Linear Terms under the Absolute Value sign. Lesson 3
that are under the current topic in this site.




Figure 1. Plot of the function        
          y = abs%28x%29


Figure 2. Plot of the function        
          y = abs%28x%29%2B1



Figure 3. Plot of the function
          y = -abs%28x%29%2B2
(the lesson  How to plot functions containing Linear Terms under the Absolute Value sign. Lesson 1)




Figure 4. Plot of the function        
          y = abs%282x%2B3%29



Figure 5. Plot of the function
          y = -abs%283x-6%29
(the lesson  How to plot functions containing Linear Terms under the Absolute Value sign. Lesson 2)




Figure 6. Plot of the function          
          y = abs%282x%2B3%29 + x


Figure 7. Plot of the function          
          y = abs%282x%2B3%29 + abs%28x%29


Figure 8. Plot of the function
          y = abs%28x%2B1%29 - abs%28x-1%29
(the lesson  How to plot functions containing Linear Terms under the Absolute Value sign. Lesson 3)


The plotting strategy is to break up the entire set of real numbers into sub-domains (ranges) where the absolute value of a linear term is a linear function,
and then to combine and to plot all these piecewise linear functions.
In order to break up the entire set of real numbers into sub-domains (ranges), where the absolute value of linear terms is a linear function,
you should analyze the function which is under the Absolute Value sign.

The referenced lessons contain all details on how to build these plots.

Use this file/link  ALGEBRA-I - YOUR ONLINE TEXTBOOK  to navigate over all topics and lessons of the online textbook  ALGEBRA-I.

This lesson has been accessed 2918 times.