Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…
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Question
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Chapter 3.2, Problem 5CFU

(a)

To determine

To find: The equations for the graphs of g(x),h(x),and k(x) .

(a)

Expert Solution
Check Mark

Answer to Problem 5CFU

The equation of the graph g(x) is g(x)=x3+1 .

Explanation of Solution

Given:

The parent graph f(x)=x3 is given below:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.2, Problem 5CFU , additional homework tip 1

The equation of the graph given below is calculated as:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.2, Problem 5CFU , additional homework tip 2

The function is moved one unit up so just add 1 to the prescription.

The equation is as given below:

  g(x)=x3+1

The equation of the graph g(x) is g(x)=x3+1 .

(b)

To determine

To find: The equations for the graphs of g(x),h(x),and k(x) .

(b)

Expert Solution
Check Mark

Answer to Problem 5CFU

The equation of the graph h(x) is h(x)=−x−13 .

Explanation of Solution

Given:

The parent graph f(x)=x3 is given below:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.2, Problem 5CFU , additional homework tip 3

The equation of the graph given below is calculated as:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.2, Problem 5CFU , additional homework tip 4

The function is moved one unit right. So take x ’s power of x minus 1. The function inverted so just take the opposite of the previous.

The equation is as given below:

  h(x)=−x−13

The equation of the graph h(x) is h(x)=−x−13 .

(c)

To determine

To find: The equations for the graphs of g(x),h(x),and k(x) .

(c)

Expert Solution
Check Mark

Answer to Problem 5CFU

The equation of the graph k(x) is k(x)=x+23+1 .

Explanation of Solution

Given:

The parent graph f(x)=x3 is given below:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.2, Problem 5CFU , additional homework tip 5

The equation of the graph given below is calculated as:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.2, Problem 5CFU , additional homework tip 6

The function is moved two units to the left so takes x ’s power of x plus 2. The function is also moved one unit up. So add 1 to the rest.

The equation is as given below:

  k(x)=x+23+1

The equation of the graph k(x) is k(x)=x+23+1 .

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Chapter 3.2, Problem 4CFU
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Chapter 3.2, Problem 6CFU

Chapter 3 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 3.1 - Prob. 1CFUCh. 3.1 - Prob. 2CFUCh. 3.1 - Prob. 3CFUCh. 3.1 - Prob. 4CFUCh. 3.1 - Prob. 5CFUCh. 3.1 - Prob. 6CFUCh. 3.1 - Prob. 7CFUCh. 3.1 - Prob. 8CFUCh. 3.1 - Prob. 9CFUCh. 3.1 - Prob. 10CFU
Ch. 3.1 - Prob. 11CFUCh. 3.1 - Prob. 12CFUCh. 3.1 - Prob. 13CFUCh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.2 - Prob. 1CFUCh. 3.2 - Prob. 2CFUCh. 3.2 - Prob. 3CFUCh. 3.2 - Prob. 4CFUCh. 3.2 - Prob. 5CFUCh. 3.2 - Prob. 6CFUCh. 3.2 - Prob. 7CFUCh. 3.2 - Prob. 8CFUCh. 3.2 - Prob. 9CFUCh. 3.2 - Prob. 10CFUCh. 3.2 - Prob. 11CFUCh. 3.2 - Prob. 12CFUCh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.3 - Prob. 1CFUCh. 3.3 - Prob. 2CFUCh. 3.3 - Prob. 3CFUCh. 3.3 - Prob. 4CFUCh. 3.3 - Prob. 5CFUCh. 3.3 - Prob. 6CFUCh. 3.3 - Prob. 7CFUCh. 3.3 - Prob. 8CFUCh. 3.3 - Prob. 9CFUCh. 3.3 - Prob. 10CFUCh. 3.3 - Prob. 11CFUCh. 3.3 - Prob. 12CFUCh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 1MCQCh. 3.3 - Prob. 2MCQCh. 3.3 - Prob. 3MCQCh. 3.3 - Prob. 4MCQCh. 3.3 - Prob. 5MCQCh. 3.3 - Prob. 6MCQCh. 3.3 - Prob. 7MCQCh. 3.3 - Prob. 8MCQCh. 3.3 - Prob. 9MCQCh. 3.3 - Prob. 10MCQCh. 3.4 - Prob. 1CFUCh. 3.4 - Prob. 2CFUCh. 3.4 - Prob. 3CFUCh. 3.4 - Prob. 4CFUCh. 3.4 - Prob. 5CFUCh. 3.4 - Prob. 6CFUCh. 3.4 - Prob. 7CFUCh. 3.4 - Prob. 8CFUCh. 3.4 - Prob. 9CFUCh. 3.4 - Prob. 10CFUCh. 3.4 - Prob. 11CFUCh. 3.4 - Prob. 12CFUCh. 3.4 - Prob. 13CFUCh. 3.4 - Prob. 14CFUCh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.5 - Prob. 1CFUCh. 3.5 - Prob. 2CFUCh. 3.5 - Prob. 3CFUCh. 3.5 - Prob. 4CFUCh. 3.5 - Prob. 5CFUCh. 3.5 - Prob. 6CFUCh. 3.5 - Prob. 7CFUCh. 3.5 - Prob. 8CFUCh. 3.5 - Prob. 9CFUCh. 3.5 - Prob. 10CFUCh. 3.5 - Prob. 11CFUCh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - Prob. 41ECh. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5B - Prob. 1GCECh. 3.5B - Prob. 2GCECh. 3.5B - Prob. 3GCECh. 3.5B - Prob. 4GCECh. 3.5B - Prob. 5GCECh. 3.5B - Prob. 6GCECh. 3.5B - Prob. 7GCECh. 3.5B - Prob. 8GCECh. 3.5B - Prob. 9GCECh. 3.5B - Prob. 10GCECh. 3.5B - Prob. 11GCECh. 3.5B - Prob. 12GCECh. 3.5B - Prob. 13GCECh. 3.5B - Prob. 14GCECh. 3.6 - Prob. 1CFUCh. 3.6 - Prob. 2CFUCh. 3.6 - Prob. 3CFUCh. 3.6 - Prob. 4CFUCh. 3.6 - Prob. 5CFUCh. 3.6 - Prob. 6CFUCh. 3.6 - Prob. 7CFUCh. 3.6 - Prob. 8CFUCh. 3.6 - Prob. 9CFUCh. 3.6 - Prob. 10CFUCh. 3.6 - Prob. 11CFUCh. 3.6 - Prob. 12CFUCh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Prob. 51ECh. 3.7 - Prob. 1CFUCh. 3.7 - Prob. 2CFUCh. 3.7 - Prob. 3CFUCh. 3.7 - Prob. 4CFUCh. 3.7 - Prob. 5CFUCh. 3.7 - Prob. 6CFUCh. 3.7 - Prob. 7CFUCh. 3.7 - Prob. 8CFUCh. 3.7 - Prob. 9CFUCh. 3.7 - Prob. 10CFUCh. 3.7 - Prob. 11CFUCh. 3.7 - Prob. 12CFUCh. 3.7 - Prob. 13CFUCh. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - Prob. 16ECh. 3.7 - Prob. 17ECh. 3.7 - Prob. 18ECh. 3.7 - Prob. 19ECh. 3.7 - Prob. 20ECh. 3.7 - Prob. 21ECh. 3.7 - Prob. 22ECh. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - Prob. 28ECh. 3.7 - Prob. 29ECh. 3.7 - Prob. 30ECh. 3.7 - Prob. 31ECh. 3.7 - Prob. 32ECh. 3.7 - Prob. 33ECh. 3.7 - Prob. 34ECh. 3.7 - Prob. 35ECh. 3.7 - Prob. 36ECh. 3.7 - Prob. 37ECh. 3.7 - Prob. 38ECh. 3.7 - Prob. 39ECh. 3.7 - Prob. 40ECh. 3.7 - Prob. 41ECh. 3.7 - Prob. 42ECh. 3.7 - Prob. 43ECh. 3.7 - Prob. 44ECh. 3.7 - Prob. 45ECh. 3.7 - Prob. 46ECh. 3.7 - Prob. 47ECh. 3.7 - Prob. 48ECh. 3.7 - Prob. 49ECh. 3.7 - Prob. 50ECh. 3.7 - Prob. 51ECh. 3.7 - Prob. 52ECh. 3.7 - Prob. 53ECh. 3.7 - Prob. 54ECh. 3.7 - Prob. 55ECh. 3.7 - Prob. 56ECh. 3.8 - Prob. 1CFUCh. 3.8 - Prob. 2CFUCh. 3.8 - Prob. 3CFUCh. 3.8 - Prob. 4CFUCh. 3.8 - Prob. 5CFUCh. 3.8 - Prob. 6CFUCh. 3.8 - Prob. 7CFUCh. 3.8 - Prob. 8CFUCh. 3.8 - Prob. 9CFUCh. 3.8 - Prob. 10CFUCh. 3.8 - Prob. 11CFUCh. 3.8 - Prob. 12CFUCh. 3.8 - Prob. 13ECh. 3.8 - Prob. 14ECh. 3.8 - Prob. 15ECh. 3.8 - Prob. 16ECh. 3.8 - Prob. 17ECh. 3.8 - Prob. 18ECh. 3.8 - Prob. 19ECh. 3.8 - Prob. 20ECh. 3.8 - Prob. 21ECh. 3.8 - Prob. 22ECh. 3.8 - Prob. 23ECh. 3.8 - Prob. 24ECh. 3.8 - Prob. 25ECh. 3.8 - Prob. 26ECh. 3.8 - Prob. 27ECh. 3.8 - Prob. 28ECh. 3.8 - Prob. 29ECh. 3.8 - Prob. 30ECh. 3.8 - Prob. 31ECh. 3.8 - Prob. 32ECh. 3.8 - Prob. 33ECh. 3.8 - Prob. 34ECh. 3.8 - Prob. 35ECh. 3.8 - Prob. 36ECh. 3.8 - Prob. 37ECh. 3.8 - Prob. 38ECh. 3.8 - Prob. 39ECh. 3 - Prob. 1SGACh. 3 - Prob. 2SGACh. 3 - Prob. 3SGACh. 3 - Prob. 4SGACh. 3 - Prob. 5SGACh. 3 - Prob. 6SGACh. 3 - Prob. 7SGACh. 3 - Prob. 8SGACh. 3 - Prob. 9SGACh. 3 - Prob. 10SGACh. 3 - Prob. 11SGACh. 3 - Prob. 12SGACh. 3 - Prob. 13SGACh. 3 - Prob. 14SGACh. 3 - Prob. 15SGACh. 3 - Prob. 16SGACh. 3 - Prob. 17SGACh. 3 - Prob. 18SGACh. 3 - Prob. 19SGACh. 3 - Prob. 20SGACh. 3 - Prob. 21SGACh. 3 - Prob. 22SGACh. 3 - Prob. 23SGACh. 3 - Prob. 24SGACh. 3 - Prob. 25SGACh. 3 - Prob. 26SGACh. 3 - Prob. 27SGACh. 3 - Prob. 28SGACh. 3 - Prob. 29SGACh. 3 - Prob. 30SGACh. 3 - Prob. 31SGACh. 3 - Prob. 32SGACh. 3 - Prob. 33SGACh. 3 - Prob. 34SGACh. 3 - Prob. 35SGACh. 3 - Prob. 36SGACh. 3 - Prob. 37SGACh. 3 - Prob. 38SGACh. 3 - Prob. 39SGACh. 3 - Prob. 40SGACh. 3 - Prob. 41SGACh. 3 - Prob. 42SGACh. 3 - Prob. 43SGACh. 3 - Prob. 44SGACh. 3 - Prob. 45SGACh. 3 - Prob. 46SGACh. 3 - Prob. 47SGACh. 3 - Prob. 48SGACh. 3 - Prob. 49SGACh. 3 - Prob. 50SGACh. 3 - Prob. 51SGACh. 3 - Prob. 52SGACh. 3 - Prob. 53SGACh. 3 - Prob. 54SGACh. 3 - Prob. 55SGACh. 3 - Prob. 56SGACh. 3 - Prob. 57SGACh. 3 - Prob. 58SGACh. 3 - Prob. 59SGACh. 3 - Prob. 60SGACh. 3 - Prob. 61SGACh. 3 - Prob. 1SAPCh. 3 - Prob. 2SAPCh. 3 - Prob. 3SAPCh. 3 - Prob. 4SAPCh. 3 - Prob. 5SAPCh. 3 - Prob. 6SAPCh. 3 - Prob. 7SAPCh. 3 - Prob. 8SAPCh. 3 - Prob. 9SAPCh. 3 - Prob. 10SAP

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