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To check horizontal line test whether inverse of
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Answer to Problem 33E
Yes
Explanation of Solution
Given information:
Formula Used:Horizontal line test and inverse relation
Calculation:
If the horizontal line intersects the graph of a function in all places at exactly one point, then the given function should have an inverse that is also a function. We say this function passes the horizontal line test.
As the horizontal line intersect with the graph of function at 1 point. So the functionpasses the horizontal test. So, the inverse of
If a relation contains the point
As,
So,
Now, squaring both sides
So, simplify
Hence,
Chapter 10 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
- 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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