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Decide whether a relation is a function

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.IF.A.1 · England: GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    Which set of ordered pairs is a function?

    • A. {(3, −2), (−2, 5), (−1, −2), (−1, −5)}
    • B. {(5, 3), (−3, 2), (6, 4), (5, 5)}
    • C. {(1, −3), (−2, −2), (0, 0), (0, 1)}
    • D. {(0, 0), (4, 0), (2, 6), (−4, 2)}

  2. Question 2

    The graph shows a set of points. Do they represent a function of x?

    xy−66−66120(6, 1)(1, 7)(−2, 6)(4, 6)(6, 3)
    • A. Yes
    • B. No

  3. Question 3

    Is this relation a function? {(1, −5), (−6, 5), (8, 1), (6, −2), (5, 3)}

    • A. Yes
    • B. No

  4. Question 4

    Which set of ordered pairs is a function?

    • A. {(5, −3), (3, 6), (4, 5), (4, 2)}
    • B. {(−2, −2), (4, 3), (−3, 0), (−2, −1)}
    • C. {(6, −1), (2, 4), (−3, −1), (−2, 4)}
    • D. {(−2, 3), (0, −2), (4, 1), (−2, 4)}

  5. Question 5

    The graph shows a set of points. Do they represent a function of x?

    xy−66−66120(3, −2)(−3, 6)(1, 6)(−5, 5)(3, 0)
    • A. Yes
    • B. No

  6. Question 6

    Is this relation a function? {(−6, 7), (−2, −6), (8, 8), (3, 7), (6, 2)}

    • A. Yes
    • B. No

  7. Question 7

    Which set of ordered pairs is a function?

    • A. {(6, −2), (1, 4), (−1, 2), (−1, 4)}
    • B. {(4, −3), (3, 5), (6, 3), (−4, 7)}
    • C. {(−2, −1), (0, −3), (6, 6), (−2, 1)}
    • D. {(1, −3), (2, 6), (−3, 2), (−3, −1)}

  8. Question 8

    The graph shows a set of points. Do they represent a function of x?

    xy−66−66120(2, −5)(4, 1)(6, 1)(−1, 2)(2, −3)
    • A. Yes
    • B. No

  9. Question 9

    Is this relation a function? {(1, −6), (3, 0), (8, 7), (6, −3), (−1, −3)}

    • A. Yes
    • B. No

  10. Question 10

    Which set of ordered pairs is a function?

    • A. {(6, −4), (0, 6), (−1, −3), (−3, −4)}
    • B. {(4, 7), (3, 7), (−3, −4), (3, 6)}
    • C. {(5, 3), (2, 0), (−3, 5), (5, 0)}
    • D. {(2, −2), (−1, 7), (1, −4), (−1, 8)}

  11. Question 11

    The graph shows a set of points. Do they represent a function of x?

    xy−66−66120(5, 7)(0, 6)(3, −2)(4, 1)(5, 10)
    • A. Yes
    • B. No

  12. Question 12

    Is this relation a function? {(8, 7), (0, −4), (3, −6), (−1, 5), (−4, −6)}

    • A. Yes
    • B. No

  13. Question 13

    Which set of ordered pairs is a function?

    • A. {(0, 6), (−1, 2), (6, 7), (−1, −1)}
    • B. {(−4, −4), (6, −4), (1, 1), (6, −5)}
    • C. {(−1, −3), (4, 0), (6, −1), (6, 0)}
    • D. {(3, −3), (−3, 3), (−1, −2), (4, 4)}

  14. Question 14

    The graph shows a set of points. Do they represent a function of x?

    xy−66−66120(−1, 2)(6, 7)(2, 7)(1, −3)
    • A. Yes
    • B. No

  15. Question 15

    Is this relation a function? {(−4, 3), (0, −5), (−1, 2), (3, 9), (6, 6)}

    • A. Yes
    • B. No

  16. Question 16

    Which set of ordered pairs is a function?

    • A. {(1, 5), (−1, −3), (2, 0), (−1, −1)}
    • B. {(−4, −3), (−1, 2), (−2, 3), (1, 3)}
    • C. {(3, 0), (−2, 2), (−3, −1), (−3, 1)}
    • D. {(−4, −2), (1, −2), (6, 3), (1, −1)}

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Answer key: Decide whether a relation is a function

  1. 1. D. {(0, 0), (4, 0), (2, 6), (−4, 2)}

  2. 2. B. No

  3. 3. A. Yes

  4. 4. C. {(6, −1), (2, 4), (−3, −1), (−2, 4)}

  5. 5. B. No

  6. 6. A. Yes

  7. 7. B. {(4, −3), (3, 5), (6, 3), (−4, 7)}

  8. 8. B. No

  9. 9. A. Yes

  10. 10. A. {(6, −4), (0, 6), (−1, −3), (−3, −4)}

  11. 11. B. No

  12. 12. A. Yes

  13. 13. D. {(3, −3), (−3, 3), (−1, −2), (4, 4)}

  14. 14. A. Yes

  15. 15. A. Yes

  16. 16. B. {(−4, −3), (−1, 2), (−2, 3), (1, 3)}