Domain And Range Continuous Graphs Worksheet - Free Printable

It looks like you've uploaded a set of graphs labeled A through I (and possibly more, though only up to I are visible), and the instruction says: "USE THESE GRAPHS TO ANSWER QUESTIONS 1 – 12." However, the actual questions (1–12) are not included in your message.

To help you properly, I need:

1. The list of questions 1–12 that go with these graphs.
2. Clarification on what type of problems they are (e.g., identifying functions, domain/range, continuity, symmetry, transformations, etc.).

That said, I can give you a general analysis of each graph so you can use it to answer common types of questions. Here's a breakdown of each graph:

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Graph A

- A piecewise linear graph with sharp corners.
- Starts at (-4, 3), goes down to (-2, 1), up to (0, 5), down to (2, 1), then up to (4, 3).
- All points are closed circles, meaning all endpoints are included.
- Function? Yes — passes vertical line test.
- Domain: [-4, 4]
- Range: [1, 5]

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Graph B

- A straight line segment from (-6, -2) to (4, 2), but open circle at (4, 2), so endpoint is excluded.
- Function? Yes.
- Domain: [-6, 4)
- Range: [-2, 2)

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Graph C

- Vertical line segment from (-1, -3) to (-1, 3), both ends open circles.
- Not a function — fails vertical line test (infinite y-values for x = -1).
- Domain: {-1}, but since open circles, no point is actually defined → technically empty domain or undefined.
- Range: (-3, 3) — open interval.

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Graph D

- A full circle centered at origin with radius ~4 units.
- Not a function — fails vertical line test (two y-values for most x-values).
- Domain: [-4, 4]
- Range: [-4, 4]

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Graph E

- Two curves forming a "U" shape opening to the right, starting at (0,0) and going to (4, 2) and (4, -2).
- Looks like a sideways parabola: $ x = y^2 $, shifted.
- Not a function — fails vertical line test.
- Domain: [0, 4]
- Range: [-2, 2]

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Graph F

- Horizontal ray starting at (-2, 0) with an open circle, extending to the right.
- Function? Yes.
- Domain: (-2, ∞)
- Range: {0} — constant function.

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Graph G

- Horizontal line segment from (-2, -1) to (2, -1), but left end is open circle, right end is closed.
- So includes (2, -1), excludes (-2, -1).
- Function? Yes.
- Domain: (-2, 2]
- Range: {-1}

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Graph H

- Diagonal line segment from (-3, 3) to (1, -1), both ends closed circles.
- Function? Yes.
- Domain: [-3, 1]
- Range: [-1, 3]

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Graph I

- V-shaped graph (absolute value), vertex at (0,0), arms going to (-2, 2) and (2, 2), both ends open circles.
- So not including endpoints.
- Function? Yes.
- Domain: (-2, 2)
- Range: [0, 2)

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Now, if you provide the actual questions 1–12, I can match them to the correct graphs and solve them step-by-step.

Common types of questions these graphs might be used for include:
- Which graphs represent functions?
- What is the domain/range of each?
- Is the graph continuous?
- Identify symmetry.
- Which graph represents a one-to-one function?
- Match equations to graphs.
- Find where the function is increasing/decreasing.

Please send the questions, and I’ll solve them!