Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Question
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Chapter 3.10, Problem 24WE
To determine

To check:whether the functions f and g are equal or not.

Expert Solution & Answer
Check Mark

Answer to Problem 24WE

The functions f and g are not same.

Explanation of Solution

Given information:

Two functions f(x)→|x|+2x and g(x)→|x|−2x .

The domain and range of the functions f and g are same.

The domain of the functions D={−2, −1, 0, 1, 2, 3}

Calculation:

Obtain the ordered pair of the function f .

It is given that the function f(x)=|x|+2x .

Substitute x=−2 in f(x)=|x|+2x in order to find the value of f(−2) .

  f(−2)=|−2|+2(−2)=2−4=−2

Substitute x=−1 in f(x)=|x|+2x in order to find the value of f(−1) .

  f(−1)=|−1|+2(−1)=1−2=−1

Substitute x=0 in f(x)=|x|+2x in order to find the value of f(0) .

  f(0)=|0|+2(0)=0+0=0

Substitute x=1 in f(x)=|x|+2x in order to find the value of f(1) .

  f(1)=|1|+2(1)=1+2=3

Substitute x=2 in f(x)=|x|+2x in order to find the value of f(2) .

  f(2)=|2|+2(2)=2+4=6

Therefore, the ordered pairs of the function f are (−2,−2), (−1,−1),  (0,0) , (1,3) and (2,6) .

Obtain the ordered pair of the function g(x)=|x|−2x ,

Substitute x=−2 in g(x)=|x|−2x in order to find the value of g(−2) .

  g(−2)=|−2|−2(−2)=2+4=6

Substitute x=−1 in g(x)=|x|−2x in order to find the value of g(−1) .

  g(−1)=|−1|−2(−1)=1+2=3

Substitute x=0 in g(x)=|x|−2x in order to find the value of g(0) .

  g(0)=|0|−2(0)=0−0=0

Substitute x=1 in g(x)=|x|−2x in order to find the value of g(1) .

  g(1)=|1|−2(1)=1−2=−1

Substitute x=2 in g(x)=|x|−2x in order to find the value of g(2) .

  g(2)=|2|−2(2)=2−4=−2

Therefore, the ordered pairs of the function gare (−2,6), (−1,3) , (0,0), (1,−1) , and  (2,−2) .

Here, the ordered pairs of f are not same as ordered pairs of g except (0,0) .

Thus, the functions f and g are not same.

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Chapter 3.10, Problem 23WE
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Chapter 3.10, Problem 25WE

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 1OECh. 3.1 - Prob. 2OECh. 3.1 - Prob. 3OECh. 3.1 - Prob. 4OECh. 3.1 - Prob. 5OECh. 3.1 - Prob. 6OECh. 3.1 - Prob. 7OECh. 3.1 - Prob. 8OECh. 3.1 - Prob. 9OECh. 3.1 - Prob. 10OE
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Prob. 2OECh. 3.9 - Prob. 3OECh. 3.9 - Prob. 4OECh. 3.9 - Prob. 5OECh. 3.9 - Prob. 6OECh. 3.9 - Prob. 7OECh. 3.9 - Prob. 8OECh. 3.9 - Prob. 1WECh. 3.9 - Prob. 2WECh. 3.9 - Prob. 3WECh. 3.9 - Prob. 4WECh. 3.9 - Prob. 5WECh. 3.9 - Prob. 6WECh. 3.9 - Prob. 7WECh. 3.9 - Prob. 8WECh. 3.9 - Prob. 9WECh. 3.9 - Prob. 10WECh. 3.9 - Prob. 11WECh. 3.9 - Prob. 12WECh. 3.9 - Prob. 13WECh. 3.9 - Prob. 14WECh. 3.9 - Prob. 15WECh. 3.9 - Prob. 16WECh. 3.9 - Prob. 17WECh. 3.9 - Prob. 18WECh. 3.9 - Prob. 19WECh. 3.9 - Prob. 20WECh. 3.9 - Prob. 21WECh. 3.9 - Prob. 22WECh. 3.9 - Prob. 23WECh. 3.9 - Prob. 24WECh. 3.9 - Prob. 25WECh. 3.9 - Prob. 26WECh. 3.9 - Prob. 27WECh. 3.9 - Prob. 28WECh. 3.9 - Prob. 29WECh. 3.9 - Prob. 30WECh. 3.9 - Prob. 31WECh. 3.9 - Prob. 32WECh. 3.9 - Prob. 33WECh. 3.9 - Prob. 1PCh. 3.9 - Prob. 2PCh. 3.9 - Prob. 3PCh. 3.9 - Prob. 4PCh. 3.9 - Prob. 5PCh. 3.9 - Prob. 6PCh. 3.9 - Prob. 7PCh. 3.9 - Prob. 8PCh. 3.9 - Prob. 9PCh. 3.9 - Prob. 10PCh. 3.9 - Prob. 11PCh. 3.9 - Prob. 1MRECh. 3.9 - Prob. 2MRECh. 3.9 - Prob. 3MRECh. 3.9 - Prob. 4MRECh. 3.9 - Prob. 5MRECh. 3.9 - Prob. 6MRECh. 3.9 - Prob. 7MRECh. 3.9 - Prob. 8MRECh. 3.9 - Prob. 9MRECh. 3.9 - Prob. 10MRECh. 3.9 - Prob. 11MRECh. 3.9 - Prob. 12MRECh. 3.9 - Prob. 13MRECh. 3.10 - Prob. 1OECh. 3.10 - Prob. 2OECh. 3.10 - Prob. 3OECh. 3.10 - Prob. 4OECh. 3.10 - Prob. 5OECh. 3.10 - Prob. 6OECh. 3.10 - Prob. 7OECh. 3.10 - Prob. 8OECh. 3.10 - Prob. 9OECh. 3.10 - Prob. 10OECh. 3.10 - Prob. 11OECh. 3.10 - Prob. 12OECh. 3.10 - Prob. 13OECh. 3.10 - Prob. 14OECh. 3.10 - Prob. 15OECh. 3.10 - Prob. 16OECh. 3.10 - Prob. 17OECh. 3.10 - Prob. 18OECh. 3.10 - Prob. 19OECh. 3.10 - Prob. 20OECh. 3.10 - Prob. 21OECh. 3.10 - Prob. 22OECh. 3.10 - Prob. 23OECh. 3.10 - Prob. 24OECh. 3.10 - Prob. 1WECh. 3.10 - Prob. 2WECh. 3.10 - Prob. 3WECh. 3.10 - Prob. 4WECh. 3.10 - Prob. 5WECh. 3.10 - Prob. 6WECh. 3.10 - Prob. 7WECh. 3.10 - Prob. 8WECh. 3.10 - Prob. 9WECh. 3.10 - Prob. 10WECh. 3.10 - Prob. 11WECh. 3.10 - Prob. 12WECh. 3.10 - Prob. 13WECh. 3.10 - Prob. 14WECh. 3.10 - Prob. 15WECh. 3.10 - Prob. 16WECh. 3.10 - Prob. 17WECh. 3.10 - Prob. 18WECh. 3.10 - Prob. 19WECh. 3.10 - Prob. 20WECh. 3.10 - Prob. 21WECh. 3.10 - Prob. 22WECh. 3.10 - Prob. 23WECh. 3.10 - Prob. 24WECh. 3.10 - Prob. 25WECh. 3.10 - Prob. 26WECh. 3.10 - Prob. 27WECh. 3.10 - Prob. 28WECh. 3.10 - Prob. 29WECh. 3.10 - Prob. 30WECh. 3.10 - Prob. 31WECh. 3.10 - Prob. 32WECh. 3.10 - Prob. 33WECh. 3.10 - Prob. 34WECh. 3.10 - Prob. 35WECh. 3.10 - Prob. 36WECh. 3.10 - Prob. 37WECh. 3.10 - Prob. 1STCh. 3.10 - Prob. 2STCh. 3.10 - Prob. 3STCh. 3.10 - Prob. 4STCh. 3.10 - Prob. 5STCh. 3.10 - Prob. 6STCh. 3.10 - Prob. 7STCh. 3.10 - Prob. 8STCh. 3.10 - Prob. 9STCh. 3.10 - Prob. 1ECh. 3.10 - Prob. 2ECh. 3.10 - Prob. 3ECh. 3.10 - Prob. 4ECh. 3.10 - Prob. 5ECh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 1CLRCh. 3 - Prob. 2CLRCh. 3 - Prob. 3CLRCh. 3 - Prob. 4CLRCh. 3 - Prob. 5CLRCh. 3 - Prob. 6CLRCh. 3 - Prob. 7CLRCh. 3 - Prob. 8CLRCh. 3 - Prob. 9CLRCh. 3 - Prob. 10CLRCh. 3 - Prob. 11CLRCh. 3 - Prob. 12CLRCh. 3 - Prob. 13CLRCh. 3 - Prob. 14CLRCh. 3 - Prob. 15CLRCh. 3 - Prob. 16CLRCh. 3 - Prob. 17CLRCh. 3 - Prob. 18CLRCh. 3 - Prob. 19CLRCh. 3 - Prob. 20CLRCh. 3 - Prob. 21CLRCh. 3 - Prob. 22CLRCh. 3 - Prob. 23CLRCh. 3 - Prob. 24CLRCh. 3 - Prob. 25CLRCh. 3 - Prob. 26CLRCh. 3 - Prob. 27CLRCh. 3 - Prob. 28CLR

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