Worksheet with six graphs to determine domain and range.

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."* The worksheet includes eight graphs, each plotted on a coordinate plane, and you're being asked to determine the domain (all possible x-values) and range (all possible y-values) for each.

Since I can't view images directly, I’ll guide you through how to solve this type of problem step by step. If you can describe the graphs or provide details about them (e.g., whether they are lines, parabolas, discrete points, etc.), I can help you find the domain and range for each.

But here’s a general method:

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🔍 How to Find Domain and Range from a Graph

#### ✔ Domain:
The set of all x-values (horizontal extent) that the graph covers.
- Look left to right: what is the smallest and largest x-value shown?
- If the graph extends infinitely in either direction, use infinity (±∞).
- For discrete points, list the x-values.
- Use interval notation (e.g., [−3, 5]) or set notation.

#### ✔ Range:
The set of all y-values (vertical extent) that the graph covers.
- Look up and down: what is the smallest and largest y-value?
- Same rules apply as above.

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📌 Common Graph Types & Their Domains/Ranges

| Graph Type | Example | Domain | Range |
|-----------|--------|--------|-------|
| Line (not vertical) | y = 2x + 1 | All real numbers: $(-\infty, \infty)$ | All real numbers: $(-\infty, \infty)$ |
| Parabola opening up | $y = x^2$ | $(-\infty, \infty)$ | $[0, \infty)$ |
| Parabola opening down | $y = -x^2$ | $(-\infty, \infty)$ | $(-\infty, 0]$ |
| Vertical line | $x = 3$ | $\{3\}$ | $(-\infty, \infty)$ |
| Horizontal line | $y = 4$ | $(-\infty, \infty)$ | $\{4\}$ |
| Discrete points | Points at (1,2), (3,5) | $\{1, 3\}$ | $\{2, 5\}$ |

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🧩 Step-by-step for Each Graph:

Let’s assume the eight graphs are labeled A–H. Here’s how to approach each one:

1. Look at the graph:
- Is it a continuous line, curve, or set of points?
- Are there endpoints? Arrows indicating continuation?

2. Determine the domain:
- What x-values are included? From leftmost to rightmost point.

3. Determine the range:
- What y-values are included? From bottom to top.

4. Use correct notation:
- Intervals: `[a, b]`, `(a, b)`, `(-∞, ∞)`
- For discrete values: `{x1, x2}`

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❓ Example (Hypothetical)

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

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

If the line continues beyond those points (with arrows), then domain and range would be $(-\infty, \infty)$ unless restricted.

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🛠️ How You Can Help Me Solve This

Please describe each graph briefly, such as:

- "Graph A is a line starting at (-3, 0) and going up to (3, 6)"
- "Graph B is a parabola opening downward with vertex at (0, 4)"
- "Graph C has three points: (-2, 1), (0, 3), (2, 1)"

Or if you can copy the coordinates or shapes, I can give you the exact domain and range for each.

Alternatively, if you can upload the image again via text description or OCR, I can proceed.

Let me know!