Take 3 or more numbers for x if the piece is NOT a straight line. If the piece is a straight line, then 2 values for x are sufficient.
In each table, take more numbers (random numbers) in the column of x that lie in the corresponding interval to get the perfect shape of the graph.If the endpoint is excluded from the interval then note that we get an open dot corresponding to that point in the graph. Include the endpoints of the interval without fail. Make a table with two columns labeled x and y corresponding to each interval.Write the intervals that are shown in the definition of the function along with their definitions.For example, f(x) = ax + b represents a linear function (which gives a line), f(x) = ax 2 + bx + c represents a quadratic function (which gives a parabola), etc, so that we will have an idea of what shape the piece of the function would result in. First, understand what each definition of the function represents.Here are the steps to graph a piecewise function. We already know that the graph of a piecewise function has multiple pieces where each piece corresponds to its definition over an interval.