# 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.

Q1:

Write the relation for the following arrow diagram: • A
• B
• C
• D
• E

Q2:

In basketball, each shot made from outside the 3-point line scores 3 points. The table shows this relationship. List this information as ordered pairs (3-point shots made, total number of points).

 3-Point Shots Made Total Points 0 1 2 3 0 3 6 9
• A, , ,
• B, , ,
• C, , ,
• D, , ,
• E, , ,

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

Q9:

Write the relation for the following arrow diagram: • A
• B
• C
• D
• E

Q10:

Write the relation for the following arrow diagram: • A
• B
• C
• D
• E

Q11:

Write the relation for the following arrow diagram: • A
• B
• C
• D
• E

Q12:

Write the relation for the following arrow diagram: • 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