Concept explainers
a.
Do the ordered pairs
a.
Answer to Problem 17E
Yes, the ordered pairs
Explanation of Solution
Given:
The height of a person is measured every year from the age of 1 year to the age of 50 years.
Calculation:
We know that a function is a relation, where each input in the domain has exactly one specific corresponding output.
In the ordered pair
We know that as we grow older, our height also increases. After a specific age, the height ceases to increase.
We also know that for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.
Since for a relation to be a function, two or more values of independent variable can have same out-put, therefore, the ordered pairs
b.
Would you expect the ordered pairs
b.
Answer to Problem 17E
No, the ordered pairs
Explanation of Solution
Given:
The height of a person is measured every year from the age of 1 year to the age of 50 years.
Calculation:
We know that a function is a relation, where each input in the domain has exactly one specific corresponding output.
In the ordered pair
We know that as we grow older, our height also increases. After a specific age, the height ceases to increase.
We also know that for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.
Since height ceases to increase after a specific age, so a person will have same height at different ages that is an input will have more than one out-put.
Therefore, the ordered pairs
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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