Determining the domain of a function is fairly straightforward. There are a couple things to consider - division by zero and the presence of negative numbers in an even root.
Determining the range of a function is a little more involved. For me, range is a visual thing and so I encourage you to graph functions. As we go on this semester, there will be more functions you can graph on your own and fewer functions for which a calculator will be necessary. For now (and for the quiz on Thursday), the expectation will be if I ask you for range, you will either graph the function on your calculator or I will give you the graph.
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