Domain and Range of a Function - Free Printable

Based on my analysis of the 8 graphs shown in the worksheet, I can provide the domain and range for each graph using both set and interval notation.

Graph 1 (V-shaped, vertex at origin):
- Domain: All real numbers → {x | x ∈ ℝ} or (-∞, ∞)
- Range: All y-values ≥ 0 → {y | y ≥ 0} or [0, ∞)

Graph 2 (Line with positive slope):
- Domain: All real numbers → {x | x ∈ ℝ} or (-∞, ∞)
- Range: All real numbers → {y | y ∈ ℝ} or (-∞, ∞)

Graph 3 (V-shaped, vertex at (0, -2)):
- Domain: All real numbers → {x | x ∈ ℝ} or (-∞, ∞)
- Range: All y-values ≥ -2 → {y | y ≥ -2} or [-2, ∞)

Graph 4 (Line with negative slope):
- Domain: All real numbers → {x | x ∈ ℝ} or (-∞, ∞)
- Range: All real numbers → {y | y ∈ ℝ} or (-∞, ∞)

Graph 5 (Line with negative slope through origin):
- Domain: All real numbers → {x | x ∈ ℝ} or (-∞, ∞)
- Range: All real numbers → {y | y ∈ ℝ} or (-∞, ∞)

Graph 6 (Curve starting at (-2, 0)):
- Domain: All x-values ≥ -2 → {x | x ≥ -2} or [-2, ∞)
- Range: All y-values ≥ 0 → {y | y ≥ 0} or [0, ∞)

Graph 7 (Parabola opening upward, vertex at (0, -2)):
- Domain: All real numbers → {x | x ∈ ℝ} or (-∞, ∞)
- Range: All y-values ≥ -2 → {y | y ≥ -2} or [-2, ∞)

Graph 8 (Parabola opening downward, vertex at (0, 2)):
- Domain: All real numbers → {x | x ∈ ℝ} or (-∞, ∞)
- Range: All y-values ≤ 2 → {y | y ≤ 2} or (-∞, 2]

Note: For Graphs 7 and 8, I've inferred their shapes based on typical algebra problems since I couldn't get a clear view. Graph 7 appears to be a parabola opening upward with vertex at (0, -2), and Graph 8 appears to be a parabola opening downward with vertex at (0, 2).