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 specific questions (1–12) that go with these graphs.
2. Clarification on what kind of problems they are — for example:
- Are they about functions vs. relations?
- Domain and range?
- Continuity?
- Piecewise functions?
- Vertical line test?
- Symmetry?
- Or something else?

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But here’s what I can do now:

I’ll analyze each graph (A–I) briefly so that when you provide the questions, I can quickly match them to the correct graph.

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Graph Analysis:

#### Graph A
- A piecewise linear graph with solid dots at endpoints.
- Starts at (-3, 2), goes down to (-2, 1), up to (0, 3), down to (1, 1), then up to (3, 2).
- Continuous, not symmetric, passes vertical line test → it's a function.
- Domain: [-3, 3], Range: [1, 3]

#### Graph B
- A straight line segment from (-4, -2) to (3, 1), but open circle at (3,1), so not including that point.
- Function (passes vertical line test).
- Domain: [-4, 3), Range: [-2, 1)

#### Graph C
- Vertical line segment from (−2, −2) to (−2, 2), but both ends open circles → not including endpoints.
- This is not a function (fails vertical line test — every x = -2 has many y-values).
- Domain: {-2}, Range: (-2, 2)

#### Graph D
- A circle centered at origin, radius ~4 units.
- Not a function (fails vertical line test — multiple y-values for one x).
- Domain: [-4, 4], Range: [-4, 4]
- Symmetric about both axes.

#### Graph E
- Two curved branches opening rightward, resembling a sideways parabola.
- Looks like $ x = y^2 $, shifted or scaled.
- Not a function (fails vertical line test — e.g., x=1 gives two y-values).
- Domain: [0, ∞), Range: all real numbers (if full graph), but here seems bounded.

#### Graph F
- Horizontal ray starting at (-2, 1) with an open circle, going to the right infinitely.
- So: $ x > -2 $, $ y = 1 $
- Function (constant function for x > -2)
- Domain: (-2, ∞), Range: {1}

#### Graph G
- Horizontal line segment from (-2, -1) to (2, -1), but open circle at left end.
- So starts just after x = -2, ends at x = 2 (solid dot).
- Function, constant y = -1
- Domain: (-2, 2], Range: {-1}

#### Graph H
- Line segment from (-2, 3) to (2, -1), decreasing.
- Solid dots at both ends.
- Function, linear.
- Domain: [-2, 2], Range: [-1, 3]

#### Graph I
- V-shaped graph, vertex at origin, opens upward.
- Two rays: one from (0,0) to (2,2), other to (-2,2), but open circles at both ends.
- So: $ y = |x| $, but excluding x = ±2.
- Function (passes vertical line test).
- Domain: (-2, 2), Range: [0, 2)

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Summary Table:

| Graph | Function? | Domain | Range | Notes |
|-------|-----------|--------|-------|-------|
| A | Yes | [-3,3] | [1,3] | Piecewise |
| B | Yes | [-4,3) | [-2,1) | Open at right |
| C | No | {-2} | (-2,2) | Vertical line |
| D | No | [-4,4] | [-4,4] | Circle |
| E | No | [0,∞) | ? | Sideways parabola |
| F | Yes | (-2,∞) | {1} | Ray |
| G | Yes | (-2,2] | {-1} | Horizontal segment |
| H | Yes | [-2,2] | [-1,3] | Line segment |
| I | Yes | (-2,2) | [0,2) | V-shape, open ends |

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Now, please provide Questions 1–12 so I can answer them using this analysis.

For example, common types of questions might be:
- Which graph represents a function?
- Which graph fails the vertical line test?
- What is the domain of graph E?
- Which graph is symmetric about the y-axis?
- Which graph has a range of {1}?

Let me know!