# 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 .

- A
- B
- C
- D
- E

**Q4: **

Write the relation for the following arrow diagram:

- A
- B
- C
- D
- E

**Q5: **

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

- A
- B
- C
- D
- E

**Q6: **

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

- A
- B
- C
- D
- E

**Q7: **

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

- A
- B
- C
- D
- E

**Q8: **

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

- A
- B
- C
- D
- E

**Q13: **

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

- A
- B
- C
- D
- E

**Q14: **

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

- A
- B
- C
- D
- E

**Q15: **

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

- A
- B
- C
- D
- E

**Q16: **

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

- A
- B
- C
- D
- E

**Q17: **

Which of the following all satisfy the relation ?

- A
- B
- C
- D

**Q18: **

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

- A
- B
- C
- D

**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 .

- A
- B
- C
- D

**Q21: **

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

- A
- B
- C
- D

**Q22: **

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

- A
- B
- C
- D

**Q23: **

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

- A
- B
- C
- D

**Q24: **

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

- A
- B
- C
- D

**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