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in this tutorial were going to focus on graphing piecewise functions so lets start with this particular example f of x is equal to x when x is less than zero and its equal to five when x is equal to or greater than zero now lets graph these two functions separately so we can get an idea of what they look like so the graph f of x equals x or y equals x is basically a straight line with a slope of one so it rises at a 45 degree angle so thats y equals x now the second graph f of x equals five or y equals five it looks like this its a horizontal line at five now we only need this portion of the graph when x is less than zero and we need this portion of the graph when x is greater than or equal to zero so the piecewise function is going to combine the left side of this graph with the right side of that graph so lets put it all together so when x is less than zero but not including zero were going to have to graph y equals x so im going to put an open circle at zero because it does
