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Decide whether a relation is a function

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.F.A.1 Β· England: KS3 Algebra

Name

Date

Score/ 16

  1. Question 1

    Is this relation a function? (6, βˆ’5), (βˆ’5, 9), (0, 5), (6, βˆ’6)

    • A. Yes
    • B. No
  2. Question 2

    Is this rule a function (one output for every input)? Side length of a square β†’ its area

    • A. Yes
    • B. No
  3. Question 3

    Is this relation a function? (βˆ’2, βˆ’5), (2, βˆ’2), (2, βˆ’3), (7, 6)

    • A. Yes
    • B. No
  4. Question 4

    Is this rule a function (one output for every input)? Each date of birth β†’ the students born that day

    • A. Yes
    • B. No
  5. Question 5

    Is this relation a function? (4, 6), (1, βˆ’8), (βˆ’5, 2), (8, 9)

    • A. Yes
    • B. No
  6. Question 6

    Is this rule a function (one output for every input)? Each student β†’ their date of birth

    • A. Yes
    • B. No
  7. Question 7

    Is this relation a function? (2, βˆ’6), (2, βˆ’7), (6, 6), (7, βˆ’8)

    • A. Yes
    • B. No
  8. Question 8

    Is this rule a function (one output for every input)? Side length of a square β†’ its area

    • A. Yes
    • B. No
  9. Question 9

    Is this relation a function? (1, 7), (7, 5), (0, βˆ’9), (9, 1)

    • A. Yes
    • B. No
  10. Question 10

    Is this rule a function (one output for every input)? A shop's opening hour β†’ the number of customers at that time on different days

    • A. Yes
    • B. No
  11. Question 11

    Is this relation a function? (βˆ’4, 0), (8, 3), (3, 2), (3, 4)

    • A. Yes
    • B. No
  12. Question 12

    Is this rule a function (one output for every input)? Each student β†’ their date of birth

    • A. Yes
    • B. No
  13. Question 13

    Is this relation a function? (5, 7), (1, 2), (βˆ’5, βˆ’7), (βˆ’5, βˆ’9)

    • A. Yes
    • B. No
  14. Question 14

    Is this rule a function (one output for every input)? A shop's opening hour β†’ the number of customers at that time on different days

    • A. Yes
    • B. No
  15. Question 15

    Is this relation a function? (3, βˆ’5), (0, βˆ’2), (βˆ’5, βˆ’1), (βˆ’3, βˆ’5)

    • A. Yes
    • B. No
  16. Question 16

    Is this rule a function (one output for every input)? Each date of birth β†’ the students born that day

    • A. Yes
    • B. No

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Answer key: Decide whether a relation is a function

  1. 1. B. No

  2. 2. A. Yes

  3. 3. B. No

  4. 4. B. No

  5. 5. A. Yes

  6. 6. A. Yes

  7. 7. B. No

  8. 8. A. Yes

  9. 9. A. Yes

  10. 10. B. No

  11. 11. B. No

  12. 12. A. Yes

  13. 13. B. No

  14. 14. B. No

  15. 15. A. Yes

  16. 16. B. No