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Chapter 11: Q. 8.148 (page 1069)

For the function fx=x-2. Find the (a) domain of the function (b) graph the function (c) use the graph to determine the range.

Short Answer

Expert verified

The domain of the function is[2,鈭�)and range is[0,鈭�)

Step by step solution

01

Step 1. Given Information

fx=x-2

02

Part (a) Step 1. Domain of the function 

We set x-2鈮�0and solvex鈮�2

03

Part (b) Step 1. Graph of the function 

To graph the function, we choose points in the interval [2,鈭�)that will also give us a radicand which will be easy to take the square root.

04

Part (c) Step 1. Finding Range from the graph 

Looking at the graph, we see the y-values of the function are greater than or equal to zero. The range then[0,鈭�)

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