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
![### Graph Analysis and Question
**Question 16:** The function \( f \) shown in the graph has a removable discontinuity at which value of \( x \)?
**Graph Description:**
- A coordinate plane graph with the function \( y = f(x) \) plotted as a continuous curve except for a point of discontinuity.
- The x-axis ranges from 0 to 7, and the y-axis appears to have markers at intervals of 1.
- The function exhibits a distinct removable discontinuity where there is a hole in the graph.
**Options:**
- a. 0
- b. 1
- c. 5
- d. 6
- e. None of the above
**Explanation of Graph:**
- The graph is a piecewise curve with peaks and troughs.
- The discontinuity, visually represented by a hole, suggests that at this x-value, the function is not defined, or the limit exists but the value is different or not defined at that point.
**Question Requirement:**
Identify the x-value corresponding to the hole in the graph, which represents the removable discontinuity of the function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c5a6816-56c9-4295-8ded-ee95ff041751%2Fc1bcf99e-e060-4fc3-b539-d6cc031923f7%2Ftb56mee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Graph Analysis and Question
**Question 16:** The function \( f \) shown in the graph has a removable discontinuity at which value of \( x \)?
**Graph Description:**
- A coordinate plane graph with the function \( y = f(x) \) plotted as a continuous curve except for a point of discontinuity.
- The x-axis ranges from 0 to 7, and the y-axis appears to have markers at intervals of 1.
- The function exhibits a distinct removable discontinuity where there is a hole in the graph.
**Options:**
- a. 0
- b. 1
- c. 5
- d. 6
- e. None of the above
**Explanation of Graph:**
- The graph is a piecewise curve with peaks and troughs.
- The discontinuity, visually represented by a hole, suggests that at this x-value, the function is not defined, or the limit exists but the value is different or not defined at that point.
**Question Requirement:**
Identify the x-value corresponding to the hole in the graph, which represents the removable discontinuity of the function.
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