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To check:
Whether the given function is one-to-one.
![Check Mark](/static/check-mark.png)
Answer to Problem 1E
Solution:
Yes. The function is a one-to-one function.
Explanation of Solution
In a one-to-one function, each value corresponds to only one
A function
Calculation:
The following table shows the number of registered passenger cars in the United States for the years 2004-2008.
Year | Registered Passenger Car (in thousands) |
2004 | 136, 431 |
2005 | 136, 568 |
2006 | 135, 400 |
2007 | 135, 933 |
2008 | 137, 080 |
If this correspondence is considered to be a function that pairs each year with the number of registered passenger cars, we need to find whether is it one-to-one function.
In the given table, let
From the given table, we find that the all the
Thus, the function is a one-to-one function.
Final statement:
Yes. The function is a one-to-one function.
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Chapter 4 Solutions
EBK ESSENTIALS OF COLLEGE ALGEBRA
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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