Concept explainers
a.
What is the least number of member in its range ?
a.
Answer to Problem 17OE
Least number of member in function’s range is 1 (one).
Explanation of Solution
Given:Suppose that the domain of a function has n members.
Calculation:
It is perfectly allowed for the domain to map to only one value in the range. (Ex: y =3.) The only constraint on a function is that each number in the domain map to only one value in the range.
Conclusion:
Least number of member in function’s range is 1 (one).
b.
What is the greatest number of members in its range?
b.
Answer to Problem 17OE
The greatest number of members in function’s range in n .
Explanation of Solution
Given:Suppose that the domain of a function has n members.
Calculation:
The only constraint on a function is that each number in the domain map to only one value in the range. So if each value in the domain maps to a different value in the range, we have n values in the range.
Conclusion:
The greatest number of members in function’s range in n .
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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