SOLUTION: If I am graphing a piecewise function f(x)={2x+1 if x<3 x-4 if x=>3 I have my points but the confusion is when I graph them I am not sure which way the lines should go wh

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Question 190394This question is from textbook
: If I am graphing a piecewise function
f(x)={2x+1 if x<3
x-4 if x=>3
I have my points but the confusion is when I graph them I am not sure which way the lines should go whether it is up or down. For 2x+1 my points are (0,1) (2,5) (3,7) and for x-4 (0,-4) (1, -3) (2,-2)
Can you show me how this should look on a graph?
Anyone that could help it would be greatly appreciated. This question is from textbook

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Your graph should look like this:

All that you're doing is graphing ONLY for x values that are less than 3 (ie you erase the portion of the graph that is beyond x=3). The same applies to . You are graphing ONLY for x values that are greater than or equal to 3.

Note: at the point (3,7) there is an open circle (we're not including this point) and there's a closed circle at (3,-1) (we're including this point).