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High School Math Algebra Algebra 2

The maximum and the minimum values of the function for the given region.

The maximum and the minimum values of the function for the given region.

Algebra 2

1st Edition

ISBN: 9780078884825

Author: McGraw-Hill/Glencoe

Publisher: Glencoe/McGraw-Hill School Pub Co

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Question

Chapter 3.4, Problem 1ACYP

To determine

To find: The maximum and the minimum values of the function for the given region.

Expert Solution & Answer

Answer to Problem 1ACYP

The maximum value of the function is 20 at (−2,5) and the minimum value of the function is −8 at (2,1) .

Explanation of Solution

Given information:

The given system of inequalities is,

−2≤x≤61≤y≤5y≤x+3f(x,y)=−5x+2y

The given system of inequalities is,

−2≤x≤61≤y≤5y≤x+3f(x,y)=−5x+2y

Consider the graph of the given inequalities as,

Algebra 2, Chapter 3.4, Problem 1ACYP

The value of the function is calculated at the vertex of the graph as,

(x,y)	f(x,y)=−5x+2y
(−2,5)	20 Maximum
(−2,1)	12
(2,1)	−8 Minimum
(0,3)	6

Thus, the maximum value of the function is 20 at (−2,5) and the minimum value of the function is −8 at (2,1) .

Chapter 3.3, Problem 9E

Chapter 3.4, Problem 1BCYP

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 2ACYP Ch. 3.1 - Prob. 2BCYP Ch. 3.1 - Prob. 3CYP Ch. 3.1 - Prob. 4ACYP Ch. 3.1 - Prob. 4BCYP Ch. 3.1 - Prob. 4CCYP Ch. 3.1 - Prob. 4DCYP Ch. 3.1 - Prob. 1CYU

Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42HP Ch. 3.1 - Prob. 43HP Ch. 3.1 - Prob. 44HP Ch. 3.1 - Prob. 45HP Ch. 3.1 - Prob. 46HP Ch. 3.1 - Prob. 47HP Ch. 3.1 - Prob. 48HP Ch. 3.1 - Prob. 49HP Ch. 3.1 - Prob. 50HP Ch. 3.1 - Prob. 51STP Ch. 3.1 - Prob. 52STP Ch. 3.1 - Prob. 53STP Ch. 3.1 - Prob. 54STP Ch. 3.1 - Prob. 55STP Ch. 3.1 - Prob. 56STP Ch. 3.1 - Prob. 57STP Ch. 3.1 - Prob. 58STP Ch. 3.1 - Prob. 59STP Ch. 3.1 - Prob. 60STP Ch. 3.1 - Prob. 61S Ch. 3.1 - Prob. 62S Ch. 3.1 - Prob. 63S Ch. 3.1 - Prob. 64S Ch. 3.1 - Prob. 65S Ch. 3.1 - Prob. 66S Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.2 - Prob. 1ACYP Ch. 3.2 - Prob. 1BCYP Ch. 3.2 - Prob. 1CCYP Ch. 3.2 - Prob. 2ACYP Ch. 3.2 - Prob. 2BCYP Ch. 3.2 - Prob. 2CCYP Ch. 3.2 - Prob. 3CYP Ch. 3.2 - Prob. 4ACYP Ch. 3.2 - Prob. 4BCYP Ch. 3.2 - Prob. 1CYU Ch. 3.2 - Prob. 2CYU Ch. 3.2 - Prob. 3CYU Ch. 3.2 - Prob. 4CYU Ch. 3.2 - Prob. 5CYU Ch. 3.2 - Prob. 6CYU Ch. 3.2 - Prob. 7CYU Ch. 3.2 - Prob. 8CYU Ch. 3.2 - Prob. 9CYU Ch. 3.2 - Prob. 10CYU Ch. 3.2 - Prob. 11CYU Ch. 3.2 - Prob. 12CYU Ch. 3.2 - Prob. 13CYU Ch. 3.2 - Prob. 14CYU Ch. 3.2 - Prob. 15PPS Ch. 3.2 - Prob. 16PPS Ch. 3.2 - Prob. 17PPS Ch. 3.2 - Prob. 18PPS Ch. 3.2 - Prob. 19PPS Ch. 3.2 - Prob. 20PPS Ch. 3.2 - Prob. 21PPS Ch. 3.2 - Prob. 22PPS Ch. 3.2 - Prob. 23PPS Ch. 3.2 - Prob. 24PPS Ch. 3.2 - Prob. 25PPS Ch. 3.2 - Prob. 26PPS Ch. 3.2 - Prob. 27PPS Ch. 3.2 - Prob. 28PPS Ch. 3.2 - Prob. 29PPS Ch. 3.2 - Prob. 30PPS Ch. 3.2 - Prob. 31PPS Ch. 3.2 - Prob. 32PPS Ch. 3.2 - Prob. 33PPS Ch. 3.2 - Prob. 34PPS Ch. 3.2 - Prob. 35PPS Ch. 3.2 - Prob. 36PPS Ch. 3.2 - Prob. 37PPS Ch. 3.2 - Prob. 38PPS Ch. 3.2 - Prob. 39PPS Ch. 3.2 - Prob. 40PPS Ch. 3.2 - Prob. 41PPS Ch. 3.2 - Prob. 42PPS Ch. 3.2 - Prob. 43PPS Ch. 3.2 - Prob. 44PPS Ch. 3.2 - Prob. 45PPS Ch. 3.2 - Prob. 46PPS Ch. 3.2 - Prob. 47PPS Ch. 3.2 - Prob. 48PPS Ch. 3.2 - Prob. 49PPS Ch. 3.2 - Prob. 50PPS Ch. 3.2 - Prob. 51PPS Ch. 3.2 - Prob. 52PPS Ch. 3.2 - Prob. 53PPS Ch. 3.2 - Prob. 54PPS Ch. 3.2 - Prob. 55PPS Ch. 3.2 - Prob. 56PPS Ch. 3.2 - Prob. 57PPS Ch. 3.2 - Prob. 58PPS Ch. 3.2 - Prob. 59PPS Ch. 3.2 - Prob. 60PPS Ch. 3.2 - Prob. 61PPS Ch. 3.2 - Prob. 62PPS Ch. 3.2 - Prob. 63PPS Ch. 3.2 - Prob. 64HP Ch. 3.2 - Prob. 65HP Ch. 3.2 - Prob. 66HP Ch. 3.2 - Prob. 67HP Ch. 3.2 - Prob. 68HP Ch. 3.2 - Prob. 69HP Ch. 3.2 - Prob. 70HP Ch. 3.2 - Prob. 71HP Ch. 3.2 - Prob. 72HP Ch. 3.2 - Prob. 73STP Ch. 3.2 - Prob. 74STP Ch. 3.2 - Prob. 75STP Ch. 3.2 - Prob. 76STP Ch. 3.2 - Prob. 77STP Ch. 3.2 - Prob. 78STP Ch. 3.2 - Prob. 79STP Ch. 3.2 - Prob. 80STP Ch. 3.2 - Prob. 81S Ch. 3.2 - Prob. 82S Ch. 3.2 - Prob. 83S Ch. 3.3 - Prob. 1ACYP Ch. 3.3 - Prob. 1BCYP Ch. 3.3 - Prob. 2ACYP Ch. 3.3 - Prob. 2BCYP Ch. 3.3 - Prob. 3CYP Ch. 3.3 - Prob. 4ACYP Ch. 3.3 - Prob. 4BCYP Ch. 3.3 - Prob. 1CYU Ch. 3.3 - Prob. 2CYU Ch. 3.3 - Prob. 3CYU Ch. 3.3 - Prob. 4CYU Ch. 3.3 - Prob. 5CYU Ch. 3.3 - Prob. 6CYU Ch. 3.3 - Prob. 7PPS Ch. 3.3 - Prob. 8PPS Ch. 3.3 - Prob. 9PPS Ch. 3.3 - Prob. 10PPS Ch. 3.3 - Prob. 11PPS Ch. 3.3 - Prob. 12PPS Ch. 3.3 - Prob. 13PPS Ch. 3.3 - Prob. 14PPS Ch. 3.3 - Prob. 15PPS Ch. 3.3 - Prob. 16PPS Ch. 3.3 - Prob. 17PPS Ch. 3.3 - Prob. 18PPS Ch. 3.3 - Prob. 19PPS Ch. 3.3 - Prob. 20PPS Ch. 3.3 - Prob. 21PPS Ch. 3.3 - Prob. 22PPS Ch. 3.3 - Prob. 23PPS Ch. 3.3 - Prob. 24PPS Ch. 3.3 - Prob. 25PPS Ch. 3.3 - Prob. 26PPS Ch. 3.3 - Prob. 27PPS Ch. 3.3 - Prob. 28PPS Ch. 3.3 - Prob. 29PPS Ch. 3.3 - Prob. 30PPS Ch. 3.3 - Prob. 31PPS Ch. 3.3 - Prob. 32PPS Ch. 3.3 - Prob. 33PPS Ch. 3.3 - Prob. 34PPS Ch. 3.3 - Prob. 35PPS Ch. 3.3 - Prob. 36PPS Ch. 3.3 - Prob. 37PPS Ch. 3.3 - Prob. 38PPS Ch. 3.3 - Prob. 39PPS Ch. 3.3 - Prob. 40PPS Ch. 3.3 - Prob. 41PPS Ch. 3.3 - Prob. 42PPS Ch. 3.3 - Prob. 43PPS Ch. 3.3 - Prob. 44PPS Ch. 3.3 - Prob. 45HP Ch. 3.3 - Prob. 46HP Ch. 3.3 - Prob. 47HP Ch. 3.3 - Prob. 48HP Ch. 3.3 - Prob. 49HP Ch. 3.3 - Prob. 50HP Ch. 3.3 - Prob. 51HP Ch. 3.3 - Prob. 52HP Ch. 3.3 - Prob. 53HP Ch. 3.3 - Prob. 54HP Ch. 3.3 - Prob. 55STP Ch. 3.3 - Prob. 56STP Ch. 3.3 - Prob. 57STP Ch. 3.3 - Prob. 58STP Ch. 3.3 - Prob. 59STP Ch. 3.3 - Prob. 60STP Ch. 3.3 - Prob. 61STP Ch. 3.3 - Prob. 62STP Ch. 3.3 - Prob. 63S Ch. 3.3 - Prob. 64S Ch. 3.3 - Prob. 65S Ch. 3.3 - Prob. 66S Ch. 3.3 - Prob. 67S Ch. 3.3 - Prob. 68S Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - Prob. 6E Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - Prob. 9E Ch. 3.4 - Prob. 1ACYP Ch. 3.4 - Prob. 1BCYP Ch. 3.4 - Prob. 2ACYP Ch. 3.4 - Prob. 2BCYP Ch. 3.4 - Prob. 3CYP Ch. 3.4 - Prob. 1CYU Ch. 3.4 - Prob. 2CYU Ch. 3.4 - Prob. 3CYU Ch. 3.4 - Prob. 4CYU Ch. 3.4 - Prob. 5CYU Ch. 3.4 - Prob. 6CYU Ch. 3.4 - Prob. 7CYU Ch. 3.4 - Prob. 8PPS Ch. 3.4 - Prob. 9PPS Ch. 3.4 - Prob. 10PPS Ch. 3.4 - Prob. 11PPS Ch. 3.4 - Prob. 12PPS Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24PPS Ch. 3.4 - Prob. 25PPS Ch. 3.4 - Prob. 26PPS Ch. 3.4 - Prob. 27PPS Ch. 3.4 - Prob. 28PPS Ch. 3.4 - Prob. 29PPS Ch. 3.4 - Prob. 30HP Ch. 3.4 - Prob. 31HP Ch. 3.4 - Prob. 32HP Ch. 3.4 - Prob. 33HP Ch. 3.4 - Prob. 34HP Ch. 3.4 - Prob. 35HP Ch. 3.4 - Prob. 36HP Ch. 3.4 - Prob. 37HP Ch. 3.4 - Prob. 38STP Ch. 3.4 - Prob. 39STP Ch. 3.4 - Prob. 40STP Ch. 3.4 - Prob. 41STP Ch. 3.4 - Prob. 42STP Ch. 3.4 - Prob. 43STP Ch. 3.4 - Prob. 44STP Ch. 3.4 - Prob. 45STP Ch. 3.4 - Prob. 46STP Ch. 3.4 - Prob. 47STP Ch. 3.4 - Prob. 48STP Ch. 3.4 - Prob. 49STP Ch. 3.4 - Prob. 50S Ch. 3.4 - Prob. 51S Ch. 3.4 - Prob. 52S Ch. 3.4 - Prob. 53S Ch. 3.4 - Prob. 54S Ch. 3.4 - Prob. 55S Ch. 3.5 - Prob. 1ACYP Ch. 3.5 - Prob. 1BCYP Ch. 3.5 - Prob. 2ACYP Ch. 3.5 - Prob. 2BCYP Ch. 3.5 - Prob. 3CYP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8PPS Ch. 3.5 - Prob. 9PPS Ch. 3.5 - Prob. 10PPS Ch. 3.5 - Prob. 11PPS Ch. 3.5 - Prob. 12PPS Ch. 3.5 - Prob. 13PPS Ch. 3.5 - Prob. 14PPS Ch. 3.5 - Prob. 15PPS Ch. 3.5 - Prob. 16PPS Ch. 3.5 - Prob. 17PPS Ch. 3.5 - Prob. 18PPS Ch. 3.5 - Prob. 19PPS Ch. 3.5 - Prob. 20PPS Ch. 3.5 - Prob. 21PPS Ch. 3.5 - Prob. 22PPS Ch. 3.5 - Prob. 23PPS Ch. 3.5 - Prob. 24HP Ch. 3.5 - Prob. 25HP Ch. 3.5 - Prob. 26HP Ch. 3.5 - Prob. 27HP Ch. 3.5 - Prob. 28HP Ch. 3.5 - Prob. 29HP Ch. 3.5 - Prob. 30HP Ch. 3.5 - Prob. 31HP Ch. 3.5 - Prob. 32HP Ch. 3.5 - Prob. 33HP Ch. 3.5 - Prob. 34STP Ch. 3.5 - Prob. 35STP Ch. 3.5 - Prob. 36STP Ch. 3.5 - Prob. 37STP Ch. 3.5 - Prob. 38STP Ch. 3.5 - Prob. 39S Ch. 3.5 - Prob. 40S Ch. 3.5 - Prob. 41S Ch. 3.5 - Prob. 42S Ch. 3 - Prob. 1QC Ch. 3 - Prob. 2QC Ch. 3 - Prob. 3QC Ch. 3 - Prob. 4QC Ch. 3 - Prob. 5QC Ch. 3 - Prob. 6QC Ch. 3 - Prob. 7QC Ch. 3 - Prob. 8QC Ch. 3 - Prob. 9QC Ch. 3 - Prob. 10QC Ch. 3 - Prob. 11QC Ch. 3 - Prob. 12QC Ch. 3 - Prob. 13QC Ch. 3 - Prob. 14QC Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 19MCQ Ch. 3 - Prob. 20MCQ Ch. 3 - Prob. 21MCQ Ch. 3 - Prob. 22MCQ Ch. 3 - Prob. 1SGR Ch. 3 - Prob. 2SGR Ch. 3 - Prob. 3SGR Ch. 3 - Prob. 4SGR Ch. 3 - Prob. 5SGR Ch. 3 - Prob. 6SGR Ch. 3 - Prob. 7SGR Ch. 3 - Prob. 8SGR Ch. 3 - Prob. 9SGR Ch. 3 - Prob. 10SGR Ch. 3 - Prob. 11SGR Ch. 3 - Prob. 12SGR Ch. 3 - Prob. 13SGR Ch. 3 - Prob. 14SGR Ch. 3 - Prob. 15SGR Ch. 3 - Prob. 16SGR Ch. 3 - Prob. 17SGR Ch. 3 - Prob. 18SGR Ch. 3 - Prob. 19SGR Ch. 3 - Prob. 20SGR Ch. 3 - Prob. 21SGR Ch. 3 - Prob. 22SGR Ch. 3 - Prob. 23SGR Ch. 3 - Prob. 24SGR Ch. 3 - Prob. 25SGR Ch. 3 - Prob. 26SGR Ch. 3 - Prob. 27SGR Ch. 3 - Prob. 28SGR Ch. 3 - Prob. 29SGR Ch. 3 - Prob. 30SGR Ch. 3 - Prob. 1PT Ch. 3 - Prob. 2PT Ch. 3 - Prob. 3PT Ch. 3 - Prob. 4PT Ch. 3 - Prob. 5PT Ch. 3 - Prob. 6PT Ch. 3 - Prob. 7PT Ch. 3 - Prob. 8PT Ch. 3 - Prob. 9PT Ch. 3 - Prob. 10PT Ch. 3 - Prob. 11PT Ch. 3 - Prob. 12PT Ch. 3 - Prob. 13PT Ch. 3 - Prob. 14PT Ch. 3 - Prob. 15PT Ch. 3 - Prob. 16PT Ch. 3 - Prob. 17PT Ch. 3 - Prob. 18PT Ch. 3 - Prob. 19PT Ch. 3 - Prob. 1E Ch. 3 - Prob. 2E Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 1STP Ch. 3 - Prob. 2STP Ch. 3 - Prob. 3STP Ch. 3 - Prob. 4STP Ch. 3 - Prob. 5STP Ch. 3 - Prob. 6STP Ch. 3 - Prob. 7STP Ch. 3 - Prob. 8STP Ch. 3 - Prob. 9STP Ch. 3 - Prob. 10STP Ch. 3 - Prob. 11STP Ch. 3 - Prob. 12STP Ch. 3 - Prob. 13STP

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