To sketch: The graph of from the given graph .
Identify the points from the given graph.
The points plotted in the graph are (0, 1), (2, 0) and (4, −1).
Interchange the x and y values to find the points of inverse graph.
Thus, the inverse function has, (1, 0), (0, 2) and (−1, 4).
Also notice that the domain of the graph is [0, 4] and the range of the graph is [−1, 1].
Thus, the domain of the graph is [−1, 1] and the range of the graph is [0, 4].
So, to sketch the graph of , draw the line y = x and plot the points (1, 0), (0, 2) and (−1, 4).
Thus, the graph of is shown below in Figure 1.
From Figure 1, notice that the graph of is the reflection of the graph of f about y = x. Also, notice that the graph f follows the cosine curve.
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