SOLUTION: How would I go about graphing this? │x+1│+│2x-1│= y I've got the cusps (-1,0) and (1/2,0) plotted but I don't know where to go from there. Please explai

Algebra ->  Absolute-value -> SOLUTION: How would I go about graphing this? │x+1│+│2x-1│= y I've got the cusps (-1,0) and (1/2,0) plotted but I don't know where to go from there. Please explai      Log On


   

Question 1070862: How would I go about graphing this?
│x+1│+│2x-1│= y
I've got the cusps (-1,0) and (1/2,0) plotted but I don't know where to go from there. Please explain what to do.
Thank you
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Look into 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
    How to plot functions containing Linear Terms under the Absolute Value sign. Lesson 3
in this site.

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 functions that are under the Absolute Value sign.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Plotting Absolute values functions ".