To sketch: The graph of from the given graph of .
Identify the points from the given graph.
The points plotted in the graph are (−1, −2), (1, −1), (2, 2) and (3, 3).
Interchange the x and y values to find the points of the inverse graph.
Thus, the inverse function contains the points, (−2, −1), (−1, 1), (2, 2) and (3, 3).
Recall the fact that the inverse function is the reflection about the line .
So, to sketch the graph of , draw the line and plot the points (−2, −1), (−1, 1), (2, 2) and (3, 3).
Thus, the graph of is shown below in Figure 1.
From Figure 1, it is observed that the graph of is the reflection of the graph of f about the line .
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