Honors Algebra 2: Extra Practice on Functions


  1. Given the relation {(3, 6), (8, -8), (3, 8), (6, 1)}
    1. Is the relation a function?
    2. Solution No
    3. What is the domain of the relation?
    4. Solution {3, 8, 6}
    5. What is the range of the relation?
    6. Solution {6, -8, 8, 1}
  2. Given the relation described in the figure below
    function sets
    1. Is the relation a function?
    2. Solution Yes
    3. What is the domain of the relation?
    4. Solution {5, 2, 1}
    5. What is the range of the relation?
    6. Solution {3, 6}
  3. Given the relation \( y = 3x - 4 \)
    1. Is the relation a function?
    2. Solution Yes
    3. What is the domain of the relation?
    4. Solution \( \{ x \in \Re \} \)
    5. What is the range of the relation?
    6. Solution \( \{ y \in \Re \} \)
  4. Given the relation \( y = -1 \)
    1. Is the relation a function?
    2. Solution Yes
    3. What is the domain of the relation?
    4. Solution \( \{ x \in \Re \} \)
    5. What is the range of the relation?
    6. Solution \( \{ y = -1 \} \)
  5. Given the relation \( x = 8 \)
    1. Is the relation a function?
    2. Solution No
    3. What is the domain of the relation?
    4. Solution \( \{ x = 8 \} \)
    5. What is the range of the relation?
    6. Solution \( \{ y \in \Re \} \)
  6. Given the relation defined in the figure below
    Relation
    1. Is the relation a function?
    2. Solution No
    3. What is the domain of the relation?
    4. Solution {-2, -1.25, -0.5, 0, 1, 1.25, 1.75, 2.75}
    5. What is the range of the relation?
    6. Solution {-1, -0.5, -0.25, 0, 0.25, 0.5, 0.75}
  7. Given the relation defined in the figure below
    Relation
    1. Is the relation a function?
    2. Solution Yes
    3. What is the domain of the relation?
    4. Solution \( \{ x \in \Re \} \)
    5. What is the range of the relation?
    6. Solution \( \{ y \in \Re \mid y \geq -2 \} \)
  8. Given the relation defined in the figure below
    Relation
    1. Is the relation a function?
    2. Solution No
    3. What is the domain of the relation?
    4. Solution \( \{ x \in \Re \mid 2 \leq x \leq 10 \} \)
    5. What is the range of the relation?
    6. Solution \( \{ y \in \Re \mid -6 \leq y \leq 2 \} \)
  9. Given the relation defined in the figure below
    Relation
    1. Is the relation a function?
    2. Solution No
    3. What is the domain of the relation?
    4. Solution \( \{ x \in \Re \} \)
    5. What is the range of the relation?
    6. Solution \( \{ y \in \Re \mid y \geq -1 \} \)