Graphs A-I displaying various mathematical functions and relations, including linear, piecewise, and circular forms, with open and closed points indicating domain restrictions.

It looks like you've uploaded a set of graphs labeled A through L, and the instruction says: "USE THESE GRAPHS TO ANSWER QUESTIONS 1 – 12." However, I don’t see any specific questions listed in your message. The image contains 12 graphs (A–L), but without the actual questions (e.g., identifying functions, domain/range, continuity, symmetry, etc.), I can't directly solve or answer them.

But I can help you analyze each graph and explain their key features so that you can use this information to answer typical questions that might be associated with such a set (like identifying which are functions, determining domains and ranges, checking for symmetry, etc.).

Let me go through each graph briefly and describe its properties:

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Graph A

- A piecewise linear graph.
- 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 filled (closed circles), so endpoints are included.
- Domain: [-4, 4]
- Range: [1, 5]
- Is it a function? Yes — passes vertical line test.
- Symmetry? Appears symmetric about the y-axis → even function.

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Graph B

- A straight line segment from (-6, -2) to (4, 2), but open circle at (4, 2).
- So, the point (4, 2) is not included.
- Domain: [-6, 4)
- Range: [-2, 2)
- Is it a function? Yes — linear, one output per input.
- Continuous? No — discontinuity at x = 4.

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Graph C

- Vertical line segment from (-2, 2) to (-2, -2), both ends open (no fill).
- Domain: {-2}, but since endpoints are open, it's actually just x = -2, y ∈ (-2, 2)
- Range: (-2, 2)
- Is it a function? No — fails vertical line test (infinite outputs for x = -2).

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Graph D

- A full circle centered at origin, radius ≈ 4 units.
- Equation: $x^2 + y^2 = 16$
- Domain: [-4, 4]
- Range: [-4, 4]
- Is it a function? No — fails vertical line test (two y-values for most x-values).
- Symmetric about both axes and origin.

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Graph E

- Two curves forming a "U" shape opening to the right.
- Looks like a sideways parabola: $x = y^2$, but only right half.
- Domain: [0, ∞), Range: all real numbers
- Is it a function? No — fails vertical line test.
- But it's a function if we consider $x$ as a function of $y$.

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Graph F

- Horizontal ray starting at (-2, 1) with an open circle, going to the right forever.
- So, x > -2, y = 1.
- Domain: (-2, ∞)
- Range: {1}
- Function? Yes — constant function for x > -2.
- Continuous? No — jump at x = -2.

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Graph G

- Horizontal line segment from (-2, -1) to (2, -1), with open circle at (-2, -1), closed at (2, -1).
- So, starts after x = -2, includes x = 2.
- Domain: (-2, 2]
- Range: {-1}
- Function? Yes.
- Continuous? No — gap at x = -2.

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Graph H

- Diagonal line from (-2, 2) to (2, -2), both endpoints filled.
- Slope = -1, passes through origin.
- Domain: [-2, 2]
- Range: [-2, 2]
- Function? Yes.
- Symmetric? Odd function — symmetric about origin.

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Graph I

- V-shaped graph, vertex at origin, opens upward.
- Two rays: left side from (0,0) to (-2,2), right side to (2,2), both ends open.
- So, undefined at endpoints.
- Domain: (-2, 2)
- Range: [0, 2)
- Function? Yes.
- Shape: Absolute value function: $y = |x|$, restricted domain.

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Graph J

- Not visible in the image provided — seems cut off.
- Possibly a similar structure to others.

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Graph K

- Not visible — possibly another line or curve.

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Graph L

- Not visible — likely missing.

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Common Questions That Might Be Asked:

Since you're told to use these graphs for questions 1–12, here are common types of questions and how to answer them using this analysis:

#### 1. Which graphs represent functions?
→ A, B, F, G, H, I — all pass vertical line test.
Not functions: C, D, E

#### 2. Which graphs are continuous?
→ A, H, I (if endpoints are included) — but check carefully.
B, F, G have open endpoints → discontinuous there.
C, D, E not functions.

#### 3. Which graph has a domain of (-2, 2)?
→ I

#### 4. Which graph is symmetric about the y-axis?
→ A, D, I (but I has open ends)

#### 5. Which graph represents a constant function?
→ F, G

#### 6. Which graph has a range of [-4, 4]?
→ D

#### 7. Which graph fails the vertical line test?
→ C, D, E

#### 8. Which graph is an odd function?
→ H (symmetric about origin)

#### 9. Which graph is defined for all real numbers?
→ None — all have limited domains.

#### 10. Which graph has a hole?
→ B, F, G, I — open circles

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If you provide the actual questions (1–12), I can give you precise answers based on these graphs.

Please reply with the list of questions, and I’ll solve them step by step!