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Chapter 8: Q. 388 (page 833)

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

fx=x-2

Short Answer

Expert verified
[0,鈭�)

[-2,鈭�)

Step by step solution

01

Step 1. Given information.

The following expression is given:

fx=x-2

02

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

Since the radical has an index of 2, we know that the radicand must be greater than or equal to 0. So, the domain of the function will be[0,鈭�).

03

Step 2. Drawing (b) The graph of the function.

To draw the graph of the function, we select some sample points in the range [0,鈭�)and create a sample table.

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

04

Step 3. Fining (c) The range of the function from the graph.

From the graph, we see that the y values are greater than or equal to -2. So, the range of the function will be[-2,鈭�).

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