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Chapter 11: Q 383 (page 1069)

In the following exercises, 鈸� find the domain of the function 鈸慻raph the function 鈸抲se the graph to determine the range.

f(x)=x+1.

Short Answer

Expert verified

鈸怲he domain of the give function is [-1,鈭�).

鈸� Graph of given function is as following :-

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

Step by step solution

01

Step 1. Given Information

We have given the following function:-

f(x)=x+1

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

02

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

The given function is:-

f(x)=x+1.

Here radical of this function is 2 which is even.

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

So that we have:-

x+1鈮�0鈬�x鈮�-1

So that domain of the given function is:-

[-1,鈭�).

03

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

To graph the given functionf(x)=x+1choose some points from domain [-1,鈭�)as following :-

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

04

Step 4. 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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