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Chapter 8: Q 385 (page 833)

In the following exercises,鈸恌ind the domain of the function 鈸慻raph the function鈸抲se the graph to determine the range.

g(x)=x+4

Short Answer

Expert verified

鈸怲he domain of the give function is [-4,鈭�).

鈸� Graph of given function is as following :-

鈸� Range of the give function is[0,鈭�).

Step by step solution

01

Step 1. Given Information

We have given the following function :-

g(x)=x+4.

We have to find its domain. Also we have draw the graph of this function and range of the function.

02

Step 2. Part 鈸� (Find domain of given function)  

The given function is :-

g(x)=x+4.

Here radical of this function is 2 that is even.

We know that if radical is even, hen radicand is greater than or equal to zero.

So that we have :-

x+4鈮�0鈬�x鈮�-4

So that domain of the given function is :-

[-4,鈭�).

03

Step 3. Part 鈸� (Graph the given function)  

To graph the given function g(x)=x+4choose some points from domain as following :-

By using these points we can draw the graph of given function as following :-

04

Step 4. Part 鈸� (Range of the given function) 

We can see that the graph of given function lies in first and third interval.

That is y has only positive values.

So range of the given function is[0,鈭�).

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