SOLUTION: Equation to be solved is y=|x|+3 and graph results. I understand that the absolute value of |x| is x; therefore the equation would be translated to y = x + 3. My question is is th

Question 156713: Equation to be solved is y=|x|+3 and graph results.
I understand that the absolute value of |x| is x; therefore the equation would be translated to y = x + 3. My question is is this as far as I go with the simiplyfing of this equation or is it more work to be done; and how do I graph.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Well, you're on the right track. If , then . On the other hand, if , then . Consider if , then

So breaks down into (if ) and (if )

To graph , first graph and together on the same coordinate axis:

Graph of (red) and (green)

Since we specified that is only true if and is only true if , this means that we only draw the portion that is ABOVE the point of intersection.

So this means that we get:

Graph of
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