SOLUTION: f(x)= |3x-2|

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Question 150968: f(x)= |3x-2|
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
To graph f%28x%29=abs%283x-2%29, first break up abs%283x-2%29 to get y=3x-2 and y=-%283x-2%29=-3x%2B2


So let's graph the two equations

+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C3x-2%2C-3x%2B2%29%0D%0A%0D%0A%29 Graph of y=3x-2 (red) and y=-3x%2B2 (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%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cabs%283x-2%29%29%0D%0A%0D%0A%29 Graph of f%28x%29=abs%283x-2%29