You can put this solution on YOUR website! I'm assuming the brackets signify absolute value??
Break the problem down into 3 distinct regions based on the arguments of the absolute value functions.
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and in between these two regions.
In the region where x<-7/3
The function then becomes
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In the region where x>1, then
The function then becomes
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Finally in between these two regions.
The function then becomes
Red : G(x)=2x+8
Blue :G(x)= -4x-6
Green :G(x)=-2x-8
The circles show the break points of x=-7/3 and x=1.
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Here is the graph trimmed of the extraneous regions.
