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In the following exercise, use the mapping of the relation to 鈸 list the ordered pairs of the relation 鈸 find the domain of the relation 鈸 find the range of the relation

The mapping below shows the average weight of a child according to age.

Short Answer

Expert verified

From the given mapping,

Order pairs of the relation are,

{(1, 20), (2, 25), (3, 30), (4, 35), (5, 40),

(6, 45), (7, 50)}.

Domain of this relation is,

{1, 2, 3, 4, 5, 6, 7}

Range of this relation is,

{20, 25, 30, 35, 40, 45, 50}

Step by step solution

01

 Step 1. Given information

We have given,

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,

We know that,

A relation is any set of ordered pairs, (x, y).

So from given information order pairs of relation are:

{(1, 20), (2, 25), (3, 30), (4, 35), (5, 40),

(6, 45), (7, 50)}.

04

Part (a) Step 2. Conclusion

Hence, From the given mapping,

Order pairs of the relation are,

{(1, 20), (2, 25), (3, 30), (4, 35), (5, 40),

(6, 45), (7, 50)}.

05

Part (b) Step 1. Explanation

We have given,

Also order pairs of relation are:

{(1, 20), (2, 25), (3, 30), (4, 35), (5, 40),(6,45), (7, 50)}.

We know that, All the x-values in the ordered pairs together make up the domain.

Therefore domain of the relation is,

{1, 2, 3, 4, 5, 6, 7}.

06

Part (b) Step 2. Conclusion

Hence,

Domain of the relation is,

{1, 2, 3, 4, 5, 6, 7}

07

Part (c) Step 1. Explanation

We have,

Also from the part a we have order pairs of the relation are:

{(1, 20), (2, 25), (3, 30), (4, 35), (5, 40),

(6, 45), (7, 50)}.

We know that, All the y-values in the ordered pairs together make up the range.

Therefore

Range of this relation is,

{20, 25, 30, 35, 40, 45, 50}.

08

Part (c) Step 2. Conclusion

Hence,

Range of this relation

{(1, 20), (2, 25), (3, 30), (4, 35), (5, 40),

(6, 45), (7, 50)} is,

{20, 25, 30, 35, 40, 45, 50}.

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