Function? x 2 468 -6+ SK LAILA O Yes ΟΝΟ Graph 4 -2 Function? K+ Graph 1 864 63 -24 -44 Yes O No Graph Z OYes Ty O Yes 2+ O No Graph 5 -2+ 24y -2 Ο ΝΟ 2 + -4 Graph 3 ● -2 O Yes 2+ O Yes -24 Graph 6 2 -2- 2 O O No ● ● ● O No

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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**Graphs and Functions Assessment**

Below are six different graphs. Analyze each graph to determine if it represents a function. Use the vertical line test to decide if each graph is a function, and select "Yes" or "No" accordingly.

---

**Graph Descriptions:**

- **Graph 1:** A curve that opens to the left. (Not a function, as it fails the vertical line test.)
  
- **Graph 2:** A horizontal sinusoidal wave. (Not a function, as it fails the vertical line test where it overlaps vertically.)

- **Graph 3:** Two horizontal lines parallel to each other. (Not a function, as it fails the vertical line test, showing multiple y-values for the same x.)

- **Graph 4:** A scatter plot with several discrete points. (If any vertical line crosses more than one point, then it is not a function.)

- **Graph 5:** An upward-facing triangle. (Not a function, as there are vertical overlaps along the edges.)

- **Graph 6:** A scatter plot with discrete points. (If no vertical line crosses more than one point for the same x, then it is a function.)

---

**Instruction:**

For each graph, select "Yes" if it represents a function, or "No" if it does not. Use the vertical line test where applicable: if any vertical line crosses the graph at more than one point, it is not a function.

**Action:**

Click the "Continue" button below after making your selections.

---

This assessment helps solidify your understanding of functions and the vertical line test. Analyze carefully and make your choices confidently!
Transcribed Image Text:**Graphs and Functions Assessment** Below are six different graphs. Analyze each graph to determine if it represents a function. Use the vertical line test to decide if each graph is a function, and select "Yes" or "No" accordingly. --- **Graph Descriptions:** - **Graph 1:** A curve that opens to the left. (Not a function, as it fails the vertical line test.) - **Graph 2:** A horizontal sinusoidal wave. (Not a function, as it fails the vertical line test where it overlaps vertically.) - **Graph 3:** Two horizontal lines parallel to each other. (Not a function, as it fails the vertical line test, showing multiple y-values for the same x.) - **Graph 4:** A scatter plot with several discrete points. (If any vertical line crosses more than one point, then it is not a function.) - **Graph 5:** An upward-facing triangle. (Not a function, as there are vertical overlaps along the edges.) - **Graph 6:** A scatter plot with discrete points. (If no vertical line crosses more than one point for the same x, then it is a function.) --- **Instruction:** For each graph, select "Yes" if it represents a function, or "No" if it does not. Use the vertical line test where applicable: if any vertical line crosses the graph at more than one point, it is not a function. **Action:** Click the "Continue" button below after making your selections. --- This assessment helps solidify your understanding of functions and the vertical line test. Analyze carefully and make your choices confidently!
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