Domain and Range of a Function Worksheets - Free Printable

It looks like you've uploaded an image containing a worksheet titled "Domain and Range" with the instruction: *"Find the domain and range for each graph."* There are eight graphs labeled A through H, each plotted on a coordinate plane.

Since I can't view or analyze images directly, I’ll guide you step-by-step on how to solve this type of problem, and if you describe each graph (or provide details about them), I can help you find the domain and range for each.

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🔍 What Are Domain and Range?

- Domain: The set of all possible x-values (inputs) for which the function is defined.
- Range: The set of all possible y-values (outputs) that the function can produce.

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📌 How to Find Domain and Range from a Graph

1. Look at the x-axis:
- Identify the leftmost and rightmost points the graph reaches.
- If the graph extends infinitely in either direction, use infinity (∞).
- Use interval notation to express the domain.

2. Look at the y-axis:
- Identify the lowest and highest points the graph reaches.
- Again, use interval notation.

3. Check for breaks or holes:
- Open circles indicate the point is not included (use parentheses).
- Closed circles indicate the point is included (use brackets).

4. Determine if it's continuous:
- Some graphs may be lines, curves, or discrete points.

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✔ Example (Hypothetical)

Suppose Graph A is a straight line going from (-3, -2) to (5, 4):

- Domain: All x-values from -3 to 5 → [-3, 5]
- Range: All y-values from -2 to 4 → [-2, 4]

If it’s a parabola opening upward with vertex at (0, -1) and extending infinitely:

- Domain: All real numbers → (-∞, ∞)
- Range: From -1 up → [-1, ∞)

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🧩 Now, let’s go through each graph

Please describe each graph (A–H) using these details:

For each graph:
- Is it a line, curve, ray, parabola, etc.?
- What are the endpoints? (Include coordinates if visible)
- Are there open or closed circles?
- Does it extend forever in any direction?

Alternatively, if you can describe what you see in each graph (e.g., "Graph A is a horizontal line at y = 2 from x = -2 to x = 4"), I can give you the exact domain and range.

Once I have the descriptions, I’ll provide full solutions for all eight graphs!