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Chapter 3: Q.493 (page 359)

In the following exercises, for each relation, 鈸� find the domain of the relation 鈸� find the range of the relation.

{(鈭�3, 7), (鈭�2, 3), (鈭�1, 9), (0, 鈭�3), (鈭�1, 8)}.

Short Answer

Expert verified

Domain and range of the relation

{(鈭�3, 7), (鈭�2, 3), (鈭�1, 9), (0, 鈭�3), (鈭�1, 8)}

Domain: {-3, -2, -1, 0}

Range: {-3, 3, 7, 8, 9}

Step by step solution

01

Step 1. Given information 

We have given relation is,

{(鈭�3, 7), (鈭�2, 3), (鈭�1, 9), (0, 鈭�3), (鈭�1, 8)}

02

 Step 2. Concept  

A relation is any set of ordered pairs, (x, y). All the x-values in the ordered pairs together make up the domain.

All the y-values in the ordered pairs together make up the range.

03

Part (a) Step 1. Explanation 

We have given relation is,

{(鈭�3, 7), (鈭�2, 3), (鈭�1, 9), (0, 鈭�3), (鈭�1, 8)}

We know that,

All the x-values in the ordered pairs together make up the domain.

Therefore domain of the relation is,

{-3, -2, -1, 0}.

04

Part (a) Step 2. Conclusion 

Hence,

Domain and range of the relation

{(鈭�3, 7), (鈭�2, 3), (鈭�1, 9), (0, 鈭�3), (鈭�1, 8)} is,

{-3, -2, -1, 0}

05

Part (b) Step 1. Explanation 

We have given relation is,

{(鈭�3, 7), (鈭�2, 3), (鈭�1, 9), (0, 鈭�3), (鈭�1, 8)}

We know that,

All the y-values in the ordered pairs together make up the range.

Therefore range of the relation is,

{-3, 3, 7, 8, 9}.

06

Part (b) Step 2. Conclusion 

Hence, range of the relation

{(鈭�3, 7), (鈭�2, 3), (鈭�1, 9), (0, 鈭�3), (鈭�1, 8)} is,

{-3, 3, 7, 8, 9}.

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Most popular questions from this chapter

Use the slope formula to find the slope of the line between each pair of points.

-2,-1,6,5.

Find the equation of a line with slope25andy-intercept(0,4).

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

(-4,1),(-2,3),(2,-5),(-2,5),(-3,52)

In the following exercise, determine the most convenient method to graph each line

x-y=1

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(b) Is the point A(3,-1)B(-1,-4)on the line?
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