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 the specific questions that go along with these graphs. Without them, I can't solve or explain anything directly.

But I can help you analyze each graph in case you're trying to identify things like:

- Which graphs represent functions?
- Domain and range
- Continuity
- Whether they are one-to-one
- Symmetry
- Vertical line test
- etc.

Let me briefly describe each graph so you can use this as a reference when answering questions.

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Graph Analysis

#### A
- A piecewise linear graph with sharp turns.
- Starts at (-3, 2), goes down to (-2, 1), up to (0, 3), down to (2, 1), then up to (3, 2).
- All points are solid (closed circles).
- Passes vertical line test → It is a function.
- Domain: [-3, 3], Range: [1, 3]

#### B
- A straight line segment from (-4, -2) to (3, 1), but the endpoint at (3,1) is an open circle.
- So it's defined for x < 3.
- Function? Yes, since it passes vertical line test.
- Domain: [-4, 3), Range: [-2, 1)

#### C
- A vertical line segment from (−1, −3) to (−1, 3), both endpoints open.
- This is not a function because it fails the vertical line test (one x-value has multiple y-values).
- Not a function.
- Domain: {-1}, Range: (-3, 3)

#### D
- A circle centered at origin, radius ≈ 3 units.
- Equation: $x^2 + y^2 = 9$
- Fails vertical line test → Not a function.
- Domain: [-3, 3], Range: [-3, 3]

#### E
- Two curves forming a "U" shape opening to the right.
- Looks like $x = y^2$ shifted.
- For each x > 0, there are two y-values → Not a function.
- Fails vertical line test.
- Domain: [0, ∞), Range: [-2, 2] (approx)

#### F
- Horizontal ray starting at (-1, 0) with open circle, going to the right.
- So: $y = 0$, $x > -1$
- Function? Yes — single output per input.
- Domain: (-1, ∞), Range: {0}

#### G
- Horizontal line segment from (-2, -1) to (1, -1), with open circle at (-2,-1), closed at (1,-1).
- So: $y = -1$, $x \in (-2, 1]$
- Function? Yes
- Domain: (-2, 1], Range: {-1}

#### H
- Diagonal line segment from (-2, 3) to (1, 0), both endpoints solid.
- Function? Yes
- Domain: [-2, 1], Range: [0, 3]

#### I
- V-shaped graph (like absolute value), vertex at origin, opens upward.
- Ends at (-2, 2) and (2, 2), both open circles.
- So: $y = |x|$, $x \in (-2, 2)$
- Function? Yes
- Domain: (-2, 2), Range: [0, 2)

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Now, if you provide the questions 1–12, I can match them to the correct graphs and give detailed explanations.

For example, typical questions might be:

1. Which graph represents a function?
2. Which graph fails the vertical line test?
3. What is the domain of graph B?
4. Which graph is symmetric about the y-axis?
5. Which graph has a range of {0}?

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