To calculate: To find whether the statement is true or false
Answer to Problem 37E
Statement is false
Explanation of Solution
Given: Statement is “When you switch the inputs and outputs of any function, the resulting relation is a function”
Formula Used:
Domain of a function is a set of possible input values
Range of a function is a set of possible output values
Calculation:
Statement is given as follows:
When you switch the inputs and outputs of any function, the resulting relation is a function
The above statement is false, as there exists few function for which the statement is false
Example: Consider a function
Domain is
Now, if domain and range is reversed, i.eDomain is
There,
Conclusion:
Hence, statement is false
Chapter 3 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education