Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 150968: f(x)= |3x-2|: f(x)= |3x-2|
Answer by jim_thompson5910(9166) About Me  (Show Source):
You can put this solution on YOUR website!
To graph f(x)=abs(3x-2), first break up abs(3x-2) to get y=3x-2 and y=-(3x-2)=-3x+2


So let's graph the two equations

 drawing(500, 500, -10, 10, -10, 10,<BR>
 graph( 500, 500, -10, 10, -10, 10,3x-2,-3x+2)
<BR>

) Graph of y=3x-2 (red) and y=-3x+2 (green)


Since we're dealing with the absolute value of 3x-2, this means that all of the y values are positive. So this means that we only graph the upper portion of the "x" like this

 drawing(500, 500, -10, 10, -10, 10,<BR>
 graph( 500, 500, -10, 10, -10, 10,abs(3x-2))
<BR>

) Graph of f(x)=abs(3x-2)