SOLUTION: how do I graph the function y=-x+4 if x<-1 y=2x+7 if x>/-1

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Question 539930: how do I graph the function
y=-x+4 if x<-1
y=2x+7 if x>/-1
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Graph both y=-x+4 and y=2x+7 on the same coordinate axis.

Now because y=-x+4 if x<-1, this means that y=-x+4 is only drawn when x is less than -1. So erase the piece on y=-x+4 that's to the right of x=-1

Similarly, since y=2x+7 if x>/-1, you're going to erase the piece that's to the left of x=-1 on y=2x+7

Doing this will give you the graph shown below

Note: the green piece is the portion "y=-x+4 if x<-1" and the red piece is the portion "y=2x+7 if x>/-1"

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Jim