Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Determine the domain and range using the graph below
**Determine the Domain and Range of the Function Using the Graph**

The graph displays a parabolic curve, opening upward, with two endpoints marked by red dots.

**Graph Details:**
- The left endpoint is at (-2, -3).
- The right endpoint is at (3, 4).

**Determine the Domain and Range:**

- **Domain:** This is the set of all possible x-values. Here, x ranges from -2 to 3. Therefore, the domain is \(-2 \leq x \leq 3\).

- **Range:** This is the set of all possible y-values. Observing the graph, y takes values from -3 to 4. Therefore, the range is \(-3 \leq y \leq 4\).
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Transcribed Image Text:**Determine the Domain and Range of the Function Using the Graph** The graph displays a parabolic curve, opening upward, with two endpoints marked by red dots. **Graph Details:** - The left endpoint is at (-2, -3). - The right endpoint is at (3, 4). **Determine the Domain and Range:** - **Domain:** This is the set of all possible x-values. Here, x ranges from -2 to 3. Therefore, the domain is \(-2 \leq x \leq 3\). - **Range:** This is the set of all possible y-values. Observing the graph, y takes values from -3 to 4. Therefore, the range is \(-3 \leq y \leq 4\).
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