Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Limits
When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…
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Question
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Chapter 7, Problem 24SGR
To determine

Whether the inverse of the given function is also a function or not , using the horizontal line test.

Expert Solution & Answer
Check Mark

Answer to Problem 24SGR

No, the inverse of the given function is not a function.

Explanation of Solution

Given Information:

Given function is :

  f(x)=3x2

Concept Used:

The horizontal line test states that if the graph of a function y=f(x) is such that no horizontal line intersects the graph in more than one point, then the function has an inverse function , or the inverse of the function y=f(x) is a function.

Calculation:

The graph of the given function is :

  Algebra 2, Chapter 7, Problem 24SGR

  Clearly, from the graph , the horizontal line y=3 intersects the graph of the given function at two points .Hence, by the horizontal line test , the inverse of the given functionis not a function .

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Chapter 7, Problem 23SGR
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Chapter 7, Problem 25SGR

Chapter 7 Solutions

Algebra 2

Ch. 7.1 - Prob. 1ACYPCh. 7.1 - Prob. 1BCYPCh. 7.1 - Prob. 2ACYPCh. 7.1 - Prob. 2BCYPCh. 7.1 - Prob. 3ACYPCh. 7.1 - Prob. 3BCYPCh. 7.1 - Prob. 4CYPCh. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYU
Ch. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8PPSCh. 7.1 - Prob. 9PPSCh. 7.1 - Prob. 10PPSCh. 7.1 - Prob. 11PPSCh. 7.1 - Prob. 12PPSCh. 7.1 - Prob. 13PPSCh. 7.1 - Prob. 14PPSCh. 7.1 - Prob. 15PPSCh. 7.1 - Prob. 16PPSCh. 7.1 - Prob. 17PPSCh. 7.1 - Prob. 18PPSCh. 7.1 - Prob. 19PPSCh. 7.1 - Prob. 20PPSCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45PPSCh. 7.1 - Prob. 46PPSCh. 7.1 - Prob. 47PPSCh. 7.1 - Prob. 48PPSCh. 7.1 - Prob. 49PPSCh. 7.1 - Prob. 50PPSCh. 7.1 - Prob. 51PPSCh. 7.1 - 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Prob. 1ACYPCh. 7.4 - Prob. 1BCYPCh. 7.4 - Prob. 2ACYPCh. 7.4 - Prob. 2BCYPCh. 7.4 - Prob. 3ACYPCh. 7.4 - Prob. 3BCYPCh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10CYUCh. 7.4 - Prob. 11CYUCh. 7.4 - Prob. 12PPSCh. 7.4 - Prob. 13PPSCh. 7.4 - Prob. 14PPSCh. 7.4 - Prob. 15PPSCh. 7.4 - Prob. 16PPSCh. 7.4 - Prob. 17PPSCh. 7.4 - Prob. 18PPSCh. 7.4 - Prob. 19PPSCh. 7.4 - Prob. 20PPSCh. 7.4 - Prob. 21PPSCh. 7.4 - Prob. 22PPSCh. 7.4 - Prob. 23PPSCh. 7.4 - Prob. 24PPSCh. 7.4 - Prob. 25PPSCh. 7.4 - Prob. 26PPSCh. 7.4 - Prob. 27PPSCh. 7.4 - Prob. 28PPSCh. 7.4 - Prob. 29PPSCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - 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Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.5 - Prob. 1ACYPCh. 7.5 - Prob. 1BCYPCh. 7.5 - Prob. 2ACYPCh. 7.5 - Prob. 2BCYPCh. 7.5 - Prob. 3ACYPCh. 7.5 - Prob. 3BCYPCh. 7.5 - Prob. 4ACYPCh. 7.5 - Prob. 4BCYPCh. 7.5 - Prob. 5ACYPCh. 7.5 - Prob. 5BCYPCh. 7.5 - Prob. 6CYPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9CYUCh. 7.5 - Prob. 10CYUCh. 7.5 - Prob. 11CYUCh. 7.5 - Prob. 12CYUCh. 7.5 - Prob. 13CYUCh. 7.5 - Prob. 14CYUCh. 7.5 - Prob. 15CYUCh. 7.5 - Prob. 16CYUCh. 7.5 - Prob. 17CYUCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31PPSCh. 7.5 - 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Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30PPSCh. 7.7 - Prob. 31PPSCh. 7.7 - Prob. 32PPSCh. 7.7 - Prob. 33PPSCh. 7.7 - Prob. 34PPSCh. 7.7 - Prob. 35PPSCh. 7.7 - Prob. 36PPSCh. 7.7 - Prob. 37PPSCh. 7.7 - Prob. 38PPSCh. 7.7 - Prob. 39PPSCh. 7.7 - Prob. 40PPSCh. 7.7 - Prob. 41PPSCh. 7.7 - Prob. 42PPSCh. 7.7 - Prob. 43PPSCh. 7.7 - Prob. 44PPSCh. 7.7 - Prob. 45PPSCh. 7.7 - Prob. 46PPSCh. 7.7 - Prob. 47PPSCh. 7.7 - Prob. 48PPSCh. 7.7 - Prob. 49PPSCh. 7.7 - Prob. 50PPSCh. 7.7 - Prob. 51PPSCh. 7.7 - Prob. 52PPSCh. 7.7 - Prob. 53PPSCh. 7.7 - Prob. 54PPSCh. 7.7 - Prob. 55PPSCh. 7.7 - Prob. 56PPSCh. 7.7 - Prob. 57PPSCh. 7.7 - Prob. 58PPSCh. 7.7 - Prob. 59PPSCh. 7.7 - Prob. 60PPSCh. 7.7 - Prob. 61PPSCh. 7.7 - Prob. 62PPSCh. 7.7 - Prob. 63PPSCh. 7.7 - Prob. 64PPSCh. 7.7 - Prob. 65PPSCh. 7.7 - Prob. 66PPSCh. 7.7 - Prob. 67HPCh. 7.7 - Prob. 68HPCh. 7.7 - Prob. 69HPCh. 7.7 - Prob. 70HPCh. 7.7 - Prob. 71HPCh. 7.7 - Prob. 72HPCh. 7.7 - Prob. 73HPCh. 7.7 - Prob. 74HPCh. 7.7 - Prob. 75HPCh. 7.7 - Prob. 76HPCh. 7.7 - Prob. 77HPCh. 7.7 - Prob. 78HPCh. 7.7 - Prob. 79HPCh. 7.7 - Prob. 80STPCh. 7.7 - Prob. 81STPCh. 7.7 - Prob. 82STPCh. 7.7 - Prob. 83STPCh. 7.7 - Prob. 84STPCh. 7.7 - Prob. 85STPCh. 7.7 - Prob. 86STPCh. 7.7 - Prob. 87STPCh. 7.7 - Prob. 88STPCh. 7.7 - Prob. 89STPCh. 7.7 - Prob. 90STPCh. 7.7 - Prob. 91SCh. 7.7 - Prob. 92SCh. 7.7 - Prob. 93SCh. 7.7 - Prob. 94SCh. 7.7 - Prob. 95SCh. 7.7 - Prob. 96SCh. 7.7 - Prob. 97SCh. 7.7 - Prob. 98SCh. 7.7 - Prob. 1ECh. 7.7 - Prob. 2ECh. 7.7 - Prob. 3ECh. 7.7 - Prob. 4ECh. 7.7 - Prob. 5ECh. 7.7 - Prob. 6ECh. 7.7 - Prob. 7ECh. 7.7 - Prob. 8ECh. 7.7 - Prob. 9ECh. 7.7 - Prob. 10ECh. 7 - Prob. 1QCCh. 7 - Prob. 2QCCh. 7 - Prob. 3QCCh. 7 - Prob. 4QCCh. 7 - Prob. 5QCCh. 7 - Prob. 6QCCh. 7 - Prob. 7QCCh. 7 - Prob. 8QCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 28MCQCh. 7 - Prob. 29MCQCh. 7 - Prob. 30MCQCh. 7 - Prob. 31MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 38PTCh. 7 - Prob. 39PTCh. 7 - Prob. 40PTCh. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STPCh. 7 - Prob. 7STPCh. 7 - Prob. 8STPCh. 7 - Prob. 9STPCh. 7 - Prob. 10STPCh. 7 - Prob. 11STPCh. 7 - Prob. 12STPCh. 7 - Prob. 13STPCh. 7 - Prob. 14STPCh. 7 - Prob. 15STP

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