009A Sample Midterm 3, Problem 2 Detailed Solution

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Sketch the graph of    At each point of discontinuity, state whether    is left or right continuous.

Background Information:  
Suppose    is discontinuous at  
Now,    is left continuous at    if  
Similarly,    is right continuous at    if  


Step 1:  
We start by graphing   
009A MT3 2.png
Step 2:  
From the graph, we can see that    is discontinuous at  
Now, we have
Hence,    is right continuous at  

Final Answer:  
        See Step 1 above for graph.
          is right continuous at  

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