Concept explainers
(a)
To find: The value of
(a)
Answer to Problem 25RE
The value of
Explanation of Solution
Given information: The domain of the function is
Calculation:
From the given graph, it can be observed that as
Therefore, the value of
(b)
To find: The value of
(b)
Answer to Problem 25RE
The value of
Explanation of Solution
Given information: The domain of the function is
Calculation:
From the graph, it can be observed that the value of the function
Therefore, the value of
(c)
To find: Whether the function
(c)
Answer to Problem 25RE
The function is not continuous at
Explanation of Solution
Given information: The domain of the function is
Calculation:
A function
From the graph it can be seen that
Therefore, the function is not continuous at
(d)
To find: The points of discontinuity of the function
(d)
Answer to Problem 25RE
The point of discontinuity of the function is 3.
Explanation of Solution
Given information: The domain of the function is
Calculation:
From the given graph of the function, it can be observed that there is a hole in graph at
The function is not defined for
Therefore, the point of discontinuity of the function is 3.
(e)
To find: Whether any point of discontinuity can be removed, if so describe new function and if not explain.
(e)
Answer to Problem 25RE
The discontinuity of the function can be removed if the value of
Explanation of Solution
Given information: The domain of the function is
Calculation:
Point of discontinuity is removable by reassigning the points of discontinuity. The left hand limit of the function at
The function will be continuous if the value of the function will be 1 at
The function will be continuous at the right end point.
Therefore, the discontinuity of the function can be removed if the value of
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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