Back to the lesson and practice
ActivityPractice worksheetRiddle puzzleFlashcards
Do it🖨️ On paper✏️ On screen
New copyMake a new one

Works with a finger, a stylus or a mouse. Nothing is saved or sent anywhere.

Write your answers with a finger, mouse or stylus. Switch to Scroll to move around the page. A stylus always writes.

eurekami

Domain and range

Grades 8 to 11 (Years 10 to 13 in England) · 16 questions · Common Core: HSF.IF.A.1, HSF.IF.B.5 · England: GCSE Higher Algebra, A-level Pure Mathematics

Name

Date

Score/ 16

  1. Question 1

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

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

  2. Question 2

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

    • A. Yes
    • B. No

  3. Question 3

    What is the domain of f(x) = 1/√(x − 5) (real numbers only)?

    • A. x ≤ 5
    • B. x ≥ 5
    • C. x > 5
    • D. x ≠ 5

  4. Question 4

    The function f = {(−3, −4), (−2, 3), (−1, 4), (4, 3), (5, −4), (2, 4)}. How many different values are in its range?

    Answer

  5. Question 5

    Which set of ordered pairs is a function?

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

  6. Question 6

    What is the smallest x in the domain of f(x) = √(5x + 5)?

    Answer

  7. Question 7

    R = {(−5, 9), (8, 1), (−3, −5), (4, 3)}. What is the domain of R?

    • A. {−5, −3, 4, 8}
    • B. {−5, −3, 4}
    • C. {−5, 1, 3, 9}
    • D. {−5, −3, 1, 3, 4, 8, 9}

  8. Question 8

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

    xy−66−66120(6, 8)(1, 1)(5, 0)(−2, −5)
    • A. Yes
    • B. No

  9. Question 9

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

    • A. Yes
    • B. No

  10. Question 10

    What is the domain of f(x) = √(−2 − x) (real numbers only)?

    • A. x ≠ −2
    • B. x ≤ −2
    • C. x > −2
    • D. x ≥ −2

  11. Question 11

    The function f = {(−3, 5), (3, 8), (0, 1), (−4, 1), (6, 5), (−1, 8)}. How many different values are in its range?

    Answer

  12. Question 12

    Which set of ordered pairs is a function?

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

  13. Question 13

    What is the smallest x in the domain of f(x) = √(3x − 9)?

    Answer

  14. Question 14

    R = {(4, 4), (−3, −6), (9, −5), (7, 3)}. What is the domain of R?

    • A. {−3, 4, 7}
    • B. {−6, −5, 3, 4}
    • C. {−3, 4, 7, 9}
    • D. {−6, −5, −3, 3, 4, 7, 9}

  15. Question 15

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

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

  16. Question 16

    Is this relation a function? {(8, 3), (3, −1), (7, 0), (0, −5), (1, 9)}

    • A. Yes
    • B. No

Write your answers right on the page. · Free from eurekami.com

All done? Check your answers
  1. Yes
  2. No
  3. x > 5
  4. 3
  5. {(1, −3), (3, −2), (5, 2), (−4, 0)}
  6. -1
  7. {−5, −3, 4, 8}
  8. Yes
  9. No
  10. x ≤ −2
  11. 3
  12. {(0, 1), (3, −1), (5, 6), (6, −1)}
  13. 3
  14. {−3, 4, 7, 9}
  15. Yes
  16. Yes