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Chapter 8: Q. 603 (page 857)

In the following exercise, 鈸� find the domain of the function 鈸� graph the function 鈸� use the graph to determine the range.

gx=x+2

Short Answer

Expert verified

The (a) domain of the function is [-2,鈭�)

(b) The graph is shown in the figure

(c) The range of the function is[0,鈭�)

Step by step solution

01

Step 1. Given Information

Wehavegx=x+2

02

Part  (a) Step 1. Finding domain

Put x+2鈮�0

Simplify, we get x鈮�-2

or in interval notation[-2,鈭�)

03

Part (b) Step 1. Graph the function

To graph the function, we choose points in the interval [鈭�2, 鈭�) that will also give us a radicand which will be easy to take the square root.

04

Part (c) Step 1. Finding Range

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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