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Chapter 8: Q 384 (page 833)

In the following exercises, 鈸� find the domain of the function鈸� graph 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�).

鈸慓raph 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 :-

f(x)=x-1.

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 :-

f(x)=x-1.

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-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 function f(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. 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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