Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![**Instruction:**
Using the graph given below, state the value of \( f(3) \).
**Graph Description:**
The graph is a plot on a coordinate plane with both x and y axes. It features a red curve that crosses various points on the grid.
- The curve starts above the y-axis, intersects the y-axis at approximately \( y = 3.5 \), and descends, crossing the x-axis just before \( x = 2 \).
- It then forms a small loop just after \( x = 2 \), drops to a low point around \( y = 1 \), and rises again.
- At \( x = 3 \), there is an open circle indicating that the function is not defined at this point, which is positioned at \( y = 3 \).
- Immediately to the right of this, the curve continues, suggesting that \( f(3) \) does not exist since there is a discontinuity.
**Conclusion:**
If the value does not exist, enter DNE.
**Answer Box:**
[____]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4962ae7-1cb2-4276-8f6a-b9f851b67289%2Fe5e3f8e3-33b3-412e-b7b2-893b1b10d6a6%2F2rqak26_processed.png&w=3840&q=75)
Transcribed Image Text:**Instruction:**
Using the graph given below, state the value of \( f(3) \).
**Graph Description:**
The graph is a plot on a coordinate plane with both x and y axes. It features a red curve that crosses various points on the grid.
- The curve starts above the y-axis, intersects the y-axis at approximately \( y = 3.5 \), and descends, crossing the x-axis just before \( x = 2 \).
- It then forms a small loop just after \( x = 2 \), drops to a low point around \( y = 1 \), and rises again.
- At \( x = 3 \), there is an open circle indicating that the function is not defined at this point, which is positioned at \( y = 3 \).
- Immediately to the right of this, the curve continues, suggesting that \( f(3) \) does not exist since there is a discontinuity.
**Conclusion:**
If the value does not exist, enter DNE.
**Answer Box:**
[____]
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