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Consider the functions and .  

  1. What is the domain of each function?

    Recall that domains of the parent functions:

    The domain will shift with the function.

  2. Graph on your graphing calculator.

  3. Explain why is not continuous at .

    Consider: _________ and ________
    Do the left and the right approach the same value?

  4. What is the range of each function? 

    Consider the range of each piece of the piecewise function separately.

Use the eTool below to view the graphs for part (b).
Click on the link to the right to view the full version of the eTool. Calc 2-50 HW eTool