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Chapter 8: Q. 399 (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:

fx=x3+3

Short Answer

Expert verified

-鈭�,鈭�

-鈭�,鈭�

Step by step solution

01

Step 1. Given information.

In this case, the following expression is given:

fx=x3+3

02

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

Since the index of the radical is 3, the radicand can be all real numbers. So, in the interval notation, the domain of the function can be expressed as-鈭�,鈭�.

03

Step 3. Constructing (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 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 range of the function will be-鈭�,鈭�.

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