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Chapter 8: Q. 393 (page 833)

In the following exercise (a) find the domain of the function (b) graph the function (c) use the graph to determine the range of the function:

gx=-x

Short Answer

Expert verified

[0,鈭�)

(-鈭�,0]

Step by step solution

01

Step 1. Given information.

The following expression is given:

gx=-x

02

Step 2. Finding (a) the domain of the function.

Since the index of the radical is 2, the radicand should be greater than or equal to 0. So, x鈮�0.

In interval notation, the domain of the function can be expressed as

[0,鈭�).

03

Step 3. Constructing (b) the graph of the function. 

To construct the graph, we select some sample points from the domain of the functions and create a sample table:

Using the table, we construct the graph of the function.

04

Step 4. Finding (c) the range of the function using the graph.

From the graph, we see that the y values of the function are less than or equal to zero. So, the range of the function will be(-鈭�,0].

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