To sketch: The graph of below the graph of f.
From the point A to the left, the slope of the graph f is strictly negative which implies that the derivative graph must have a functional value in negative.
From the given graph, it is observed that the graph has high sharpness at origin. So, there is no unique tangent line at origin. Thus, the given graph is not differentiable at . Therefore, the graph of has a discontinuity at .
From the point A to right, the slope of the graph f is strictly positive which implies that the derivative graph must have a functional value in positive.
Use the above information and obtain the graph of as shown below in Figure 1.
Thus, is the required graph.
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