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Chapter 8: Q. 392 (page 833)

[0,鈭�)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:

fx=4-x

Short Answer

Expert verified
(-鈭�,4]

Step by step solution

01

Step 1. Given information.

The following expression is given:

fx=4-x

02

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

Since the index of the radical is 2, the radiant should be greater than or equal to zero. So,

4-x鈮�04鈮�x

In the interval notation, the domain of the function will be(-鈭�,4]

03

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

To construct the graph of the function, we take some sample points from the domain of the function and create a sample table.

Using this table, we can 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 greater than or equal to 0. So, the range of the function will be[0,鈭�).

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