BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

15th Edition

ISBN: 9781608408405

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Cengage Learning

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Question

Chapter 2.2, Problem 39E

To determine

To find: The minimum and maximum value of the function with the description of domain and range of the function.

Expert Solution & Answer

Answer to Problem 39E

The function y=6x2−1 opens up and has the minimum value −1 .

Domain is all the real numbers and ranges is greater than or equal to −1, y≥−1 .

The given function y=6x2−1 is decreasing to the left of x=0 and increasing to the right of x=0 .

Explanation of Solution

Given information: y=6x2−1 .

General form of quadratic function is y=ax2+bx+c .

a=6, b=0, c=−1

The coefficient of x2 , a>0 so the parabola opens up and has a minimum value,

The coordinates of the vertex of the function gives the minimum value,

x=−b2ax=−02×6x=0

Substitute x=0 in y=6x2−1 ,

y=6 (0) 2 −1y=0−1y=−1

The minimum value of the graph of the function y=6x2−1 is −1 .

The domain (x) is all the real numbers and the range (y) is greater than or equal to −1 .

The given function y=6x2−1 is decreasing to the left of x=0 and increasing to the right of x=0 .

Chapter 2.2, Problem 38E

Chapter 2.2, Problem 40E

Chapter 2 Solutions

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - 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