Honors Algebra 2: Extra Practice on Functions

• Class: Honors Algebra 2
• Author: Peter Atlas
• Text: Algebra and Trigonometry: Structure and Method, Brown

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
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
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
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
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
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 $$\{ y \in \Re \mid y \geq -1 \}$$