To sketch: The graph of the function by using transformation.
Since the given function is the step function, there are two functions such as, and .
The standard graph of the function and is roughly drawn and shown below in Figure 1.
Then, to draw the graph of , shift the graph one unit downward and consider only the first quadrant portion .
Similarly, to draw the of , reflect the graph about y-axis and consider the only the second quadrant part.
Thus, the graph of is shown below in Figure 2.
From figure 2, it is observed that the graph is drawn for the numbers and the graph is drawn for the numbers .
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