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A.4.10.4 What Could Be the Trouble?

Consider the function f(x)=6/(x-2). To find out the sets of possible input and output values of the function, Clare created a table and evaluated f at some values of x. Along the way, she ran into some trouble. 1. Find f(x) for each x-value Clare listed.

Describe what Clare’s trouble might be.

2. Use graphing technology to graph function f. What do you notice about the graph?

3. Use a calculator to compute the value you and Clare had trouble computing. What do you notice about the computation?

4. How would you describe the domain of function f?