# Worksheet: Representing Relations

In this worksheet, we will practice representing a relation using a mapping diagram or a graph, knowing the domain and range of a given relation.

**Q3: **

Using the Cartesian diagram below, determine the relation , where .

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**Q4: **

Write the relation for the following arrow diagram:

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**Q5: **

Given that and , express the following arrow diagram in the form of an equation.

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**Q6: **

Given that is a relation from to , where and , which of the following equations correctly expresses relation ?

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**Q7: **

Which of the following correctly express the relation illustrated in the figure below?

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**Q8: **

Which of the following relations correctly express the mapping diagram shown in the figure below?

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**Q13: **

Using the Cartesian diagram below, determine the relation , where .

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**Q14: **

Using the Cartesian diagram below, determine the relation , where .

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**Q15: **

Using the Cartesian diagram below, determine the relation , where .

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**Q16: **

Using the Cartesian diagram below, determine the relation , where .

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**Q17: **

Which of the following all satisfy the relation ?

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**Q18: **

Given that , , and is a relation from to , where means that for each and , determine the relation .

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**Q19: **

Given that , , and , determine whether represents a relation from to or not.

- Ano
- Byes

**Q20: **

, , and is a relation from to , where means that for each and . Determine the relation .

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**Q21: **

Given that , , and is a relation from to , where means for each and , determine the relation .

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**Q22: **

Given that , , and is a relation from to , where means that for each and , determine the relation .

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**Q23: **

Given that , and is a relation on , where means that is equal to an even number for each and , determine the relation .

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**Q24: **

If , and is a relation on , where means is divisible by 2 for each and , determine the relation .

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**Q25: **

The relation on natural numbers is defined by if and only if . Find such that , and such that .

- A, and
- B, and or
- C, and or
- D, and