Need to plot this shit. I don't have any idea how.
www.mathway.com
>>34644
Since I'm OP, I thought I was a faggot but you clearly take the lead.
desmos.com
>>34627
You can use programs like gnuplot or even wolframalpha to plot functions ("plot y = sin(x)" for example).
In your function you need to get rid of the absolute values. You correctly determined the intervals needed.
When is everything in the |...| nonnegative? For x >= 3. In this case you can drop the |...| and obtain
f(x) = 2x for x >= 3.
If x is between -3 and 3, then the term x+3 is positive and the term x-3 is negative which means |x-3| = 3-x. Therefore f(x) = (x+3) +(3-x) = 6 for x between -3 and 3.
In the last part for x <= -3 both terms are negative, so you obtain f(x) = (-x-3) + (-x+3) = -2x
You should be able to plot these.