The functionh I (E-3)- 1 is graphed on 1,5], determine the following information from the graph provided. %3D 10 2. -4 -2 10 -2 Drag and dr (-*,*) [-1, 7] 3. 7 (17-10 15 3.5 -1 a. State the range (-1, 7) b. Using the graph, determine the approximate y value of the y-intercept.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine the following information from the graph provided
**Question 1-4**

The function \( h(x) = \frac{1}{2}(x-3)^2 - 1 \) is graphed on the interval \([-1, 5]\). Determine the following information from the graph provided.

**Graph Description:**

The graph displays a parabola with a vertex at the point (3, -1). It opens upwards. The x-axis is labeled from -4 to 10 and the y-axis is labeled from -4 to 10. The key points marked on the graph are at (0, 3.5), (3, -1), (6, 7), and (8, 15.5).

---

**Questions:**

a. State the range.

b. Using the graph, determine the approximate \( y \)-value of the \( y \)-intercept.

**Answer Choices:**

- \((-\infty, \infty)\)
- \([-1, 7]\)
- \([3, 7]\)
- \([1, 7]\)
- \(-1\)
- 0
- 1.5
- 3.5

*Drag and drop an answer.*

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Transcribed Image Text:**Question 1-4** The function \( h(x) = \frac{1}{2}(x-3)^2 - 1 \) is graphed on the interval \([-1, 5]\). Determine the following information from the graph provided. **Graph Description:** The graph displays a parabola with a vertex at the point (3, -1). It opens upwards. The x-axis is labeled from -4 to 10 and the y-axis is labeled from -4 to 10. The key points marked on the graph are at (0, 3.5), (3, -1), (6, 7), and (8, 15.5). --- **Questions:** a. State the range. b. Using the graph, determine the approximate \( y \)-value of the \( y \)-intercept. **Answer Choices:** - \((-\infty, \infty)\) - \([-1, 7]\) - \([3, 7]\) - \([1, 7]\) - \(-1\) - 0 - 1.5 - 3.5 *Drag and drop an answer.* ---
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