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Chapter 8: Q. 8.147 (page 830)

For the function, fx=x+2.

Find the (a) find the domain (b) graph the function (c) use the graph to determine the range.

Short Answer

Expert verified

The domain is in interval notation [-2,鈭�).

The range of the function is [0,鈭�)

The graph is

Step by step solution

01

Step 1. Given Information

fx=x+2

We set x+2鈮�0x鈮�-2

In interval notation[-2,鈭�)

02

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.

03

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 is[0,鈭�)

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