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an explanation of how to graph a piecewise function
What is "First look at the numbers that appear in the if parts. At those values, draw vertical dotted lines for seams. Then pull each piece down into the neighborhood where it is to be graphed, like into the left, middle, and right, areas. Then make little x-y-charts for each part, only plugging in x-values that would appear in that neighborhood. Plot the points you find. Connect the dots with a line and extend the line up to the seam. On the seam put a dot that is either open or closed depending on if the inequality had an equal bar with it."