Concept explainers
(a)
To find: the least upper bound and tell whether or not it is in the range of the function.
The least upper bound is
Given information:
The function
Calculation:
Here,
The least upper bound is in the range because
(b)
To find: the least upper bound and tell whether or not it is in the range of the function.
Least upper bound: 3
Not in the range of
Given information:
The function
Calculation:
The graph is
The least upper bound of the function is
(c)
To find: the least upper bound and tell whether or not it is in the range of the function.
No upper bound.
Given information:
The function
Calculation:
The graph of
The function approaches infinity as
no upper bound.
Therefore, no upper bound.
(d)
To find: the least upper bound and tell whether or not it is in the range of the function.
Least upper bound: 2
In the range of
Given information:
The function
Calculation:
The graph of
The least upper bound is
Hence, least upper bound: 2
In the range of
(e)
To find: the least upper bound and tell whether or not it is in the range of the function.
Least upper bound:
In the range of
Given information:
The function
Calculation:
The graph of
The least upper bound as
Hence, least upper bound:
In the range of
Chapter 1 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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