In this worksheet, we will practice determining whether a given relation is a function.

**Q1: **

Which of the following relations represents a function?

Relation A | |||||
---|---|---|---|---|---|

Relation B |

- ARelation B
- BRelation A

**Q2: **

Which of the following is the best description for a function?

- AA function is a relation such that every input is mapped to multiple outputs.
- BA function is a mathematical rule that assigns to each input more than one output.
- CA function is a relation that assigns to each input exactly one output.

**Q3: **

Which of the following represents a function with input and output ?

Relation A | |||||
---|---|---|---|---|---|

0 | 3 | 8 | |||

6 | 8 | 20 | 4 | 8 |

Relation B | |||||
---|---|---|---|---|---|

0 | 7 | ||||

6 | 8 | 20 | 4 | 8 |

- ARelation A
- BRelation B

**Q5: **

If a graph represents a function, how many points of intersection does it have with a vertical line?

- Aone point
- Btwo or more points

**Q6: **

If , , and is the relation from to , where means , determine whether represents a function or not.

- Ayes
- Bno

**Q7: **

Which of the following assigns only one -value to each -value?

- A
- B
- C
- D
- E

**Q8: **

Suppose and . How many different functions are there from to ?

**Q9: **

Suppose and . How many different functions are there from to ?

**Q10: **

If , and means that is divisible by 5, where is a relation on , determine whether represents a function where and .

- AIt does.
- BIt does not.

**Q11: **

Given that and are real variables, which of the following relations is a function of ?

- A
- B
- C
- D
- E

**Q12: **

Suppose and is a set with elements. How many different functions are there from to ?

- A It is not possible to say.
- B 1
- C
- D
- E

**Q13: **

, , and is a relation from to . If and , which of the following relations represents a function?

- A is twice
- B
- C is twice
- D is a factor of
- E an odd number

**Q14: **

Suppose and . How many different functions are there from to ?

**Q15: **

Given that , , and , where is a relation from to , does represent a function?

- Ayes
- Bno

**Q16: **

If , , and is a relation from to , where means ; and , does represent a function?

- Ano
- Byes

**Q17: **

Given that , , and is represented by the equation , where is a function from to , for which and , determine the value of .

**Q18: **

Suppose and . How many different functions are there from to ?