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Worksheet

Domain and Range

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Show your work for each problem.

  1. 1.
    What does the domain of a function represent?
    1. a)The highest point on the graph
    2. b)All possible input values (x-values)
    3. c)The slope of the function
    4. d)All possible output values (y-values)
  2. 2.
    A graph exists from to . What is the domain in interval notation?
    1. a)
    2. b)
    3. c)
    4. d)
  3. 3.
    A parabola has its vertex at and opens upward. What is the minimum value of the range?
  4. 4.
    For , what value of is NOT in the domain?
  5. 5.
    Which bracket notation should you always use with infinity ()?
    1. a)Curly bracket
    2. b)Either one works
    3. c)Square bracket
    4. d)Parenthesis
  6. 6.
    Find the domain of
  7. 7.
    Find the domain of
  8. 8.
    The range of a function is . What is the minimum y-value the function can produce?
  9. 9.
    What is the domain of ?
    1. a)
    2. b)
    3. c)
    4. d)
  10. 10.
    Find the domain and range of
  11. 11.
    For , what is the range in interval notation?
  12. 12.
    Find the domain of
  13. 13.
    What is the domain of ?
    1. a)
    2. b)
    3. c)
    4. d)
  14. 14.
    Find the domain of
  15. 15.
    A parabola opens downward with vertex at . What is the maximum value in its range?
  16. 16.
    Find the range of
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/graphing/functions/domain-and-range