(a)
To find: Domain and range of the mapping
(a)
Answer to Problem 3E
The domain is
The range is
One co domain is
Explanation of Solution
Given Information:
The mapping
Formula Used:
Domain is set of all points where the function is defined.
Codomain is the set containing the set
Range is the set
Proof:
Consider the given function.
The function
The domain is
Consider the equation.
The above is not defined for
The range is
One co domain is
(b)
To find: Domain and range of the mapping
(b)
Answer to Problem 3E
The domain is
The range is
One co domain is
Explanation of Solution
Given Information:
The mapping
Formula Used:
Domain is set of all points where the function is defined.
Codomain is the set containing the set
Range is the set
Proof:
Consider the given function.
The function
The domain is
Consider the equation.
The range is
One co domain is
(c)
To find: Domain and range of the mapping
(c)
Answer to Problem 3E
Domain is
Range is
Codomain is
Explanation of Solution
Given Information:
The mapping
Formula Used:
Domain is set of all points where the function is defined.
Codomain is the set containing the set
Range is the set
Proof:
Consider the given function.
The function is not defined for
Domain is
For every
Range is
Codomain is
(d)
To find: Domain and range of the mapping
(d)
Answer to Problem 3E
Domain is
Codomain is
Explanation of Solution
Given Information:
The mapping
Formula Used:
Domain is set of all points where the function is defined.
Codomain is the set containing the set
Range is the set
Proof:
Consider the given function.
(e)
To find: Domain and range of the given mapping.
(e)
Explanation of Solution
Given Information:
The mapping
Formula Used:
Domain is set of all points where the function is defined.
Codomain is the set containing the set
Range is the set
Proof:
(f)
To find: Domain and range of the given mapping.
(f)
Explanation of Solution
Given Information:
The mapping
Formula Used:
Domain is set of all points where the function is defined.
Codomain is the set containing the set
Range is the set
Proof:
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Chapter 4 Solutions
A Transition to Advanced Mathematics
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