Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter 10.2, Problem 7E
Solution

To match: The given graph with corresponding function.

The graph of function y=cosx2+1 is (A).

Given data: The given function is y=cosx2+1. The listed graphs are:

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter 10.2, Problem 7E , additional homework tip  1

Method/Formula used:

First determine the period of the given function and some points, and match the graph.

The period Tof a function fx ) is defined as fx=fx+T .

Calculations:

The given function is y=cosx2+1 .

Let T be the period of this function, then

  cosx2+1=y=cosx2+T+1 … (1)

But the cosine function has period from x=0 to x=2π , therefore, the function cosx2+1 has period from x2=0 to x2=2π or from x=0 to x=4π .

Thus, 4π is the period of the function y=cosx2+1 .

Substitute 0 for x in the function,

  y0=cos02+1=1+1=2

Thus, the curve passes through point 0,2 .

Substitute 2π for x in the function,

  y2π=cos2π2+1=1+1=0

Thus, the curve passes through point 2π,0 .

The graph (A) has time period 4π passes through points 0,2 and 2π,0 .

Therefore, the graph of function y=cosx2+1 is

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter 10.2, Problem 7E , additional homework tip  2

Chapter 10 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 10.1 - Prob. 11GPCh. 10.1 - Prob. 12GPCh. 10.1 - Prob. 13GPCh. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29PSCh. 10.1 - Prob. 30PSCh. 10.1 - Prob. 31PSCh. 10.1 - Prob. 32PSCh. 10.1 - Prob. 33PSCh. 10.2 - Prob. 1GPCh. 10.2 - Prob. 2GPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4GPCh. 10.2 - Prob. 5GPCh. 10.2 - Prob. 6GPCh. 10.2 - Prob. 7GPCh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50PSCh. 10.2 - Prob. 51PSCh. 10.2 - Prob. 52PSCh. 10.2 - Prob. 53PSCh. 10.2 - Prob. 54PSCh. 10.2 - Prob. 55PSCh. 10.2 - Prob. 1QCh. 10.2 - Prob. 2QCh. 10.2 - 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Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41PSCh. 10.4 - Prob. 42PSCh. 10.4 - Prob. 43PSCh. 10.4 - Prob. 44PSCh. 10.4 - Prob. 45PSCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 6PCh. 10.4 - Prob. 7PCh. 10.4 - Prob. 8PCh. 10.4 - Prob. 9PCh. 10.4 - Prob. 1MRPSCh. 10.4 - Prob. 2MRPSCh. 10.4 - Prob. 3MRPSCh. 10.4 - Prob. 4MRPSCh. 10.4 - Prob. 5MRPSCh. 10.4 - Prob. 6MRPSCh. 10.4 - Prob. 7MRPSCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2GPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 4GPCh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23PSCh. 10.5 - Prob. 24PSCh. 10.5 - Prob. 25PSCh. 10.5 - Prob. 26PSCh. 10.5 - Prob. 27PSCh. 10.5 - Prob. 28PSCh. 10.5 - Prob. 29PSCh. 10.5 - Prob. 1QCh. 10.5 - Prob. 2QCh. 10.5 - Prob. 3QCh. 10.5 - Prob. 4QCh. 10.5 - Prob. 5QCh. 10.5 - Prob. 6QCh. 10.5 - Prob. 7QCh. 10.5 - Prob. 8QCh. 10.5 - Prob. 9QCh. 10.5 - Prob. 10QCh. 10.5 - Prob. 11QCh. 10.5 - Prob. 12QCh. 10.5 - Prob. 3DCCh. 10.5 - Prob. 4DCCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 4GPCh. 10.6 - Prob. 5GPCh. 10.6 - Prob. 6GPCh. 10.6 - Prob. 7GPCh. 10.6 - Prob. 8GPCh. 10.6 - Prob. 9GPCh. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Prob. 4ECh. 10.6 - Prob. 5ECh. 10.6 - Prob. 6ECh. 10.6 - Prob. 7ECh. 10.6 - Prob. 8ECh. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.6 - Prob. 11ECh. 10.6 - Prob. 12ECh. 10.6 - Prob. 13ECh. 10.6 - Prob. 14ECh. 10.6 - Prob. 15ECh. 10.6 - Prob. 16ECh. 10.6 - Prob. 17ECh. 10.6 - Prob. 18ECh. 10.6 - Prob. 19ECh. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - Prob. 23ECh. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - Prob. 27ECh. 10.6 - Prob. 28ECh. 10.6 - Prob. 29ECh. 10.6 - Prob. 30ECh. 10.6 - Prob. 31ECh. 10.6 - Prob. 32ECh. 10.6 - Prob. 33ECh. 10.6 - Prob. 34ECh. 10.6 - Prob. 35ECh. 10.6 - Prob. 36ECh. 10.6 - Prob. 37ECh. 10.6 - Prob. 38ECh. 10.6 - Prob. 39ECh. 10.6 - Prob. 40PSCh. 10.6 - Prob. 41PSCh. 10.6 - Prob. 42PSCh. 10.6 - Prob. 43PSCh. 10.6 - Prob. 44PSCh. 10.6 - Prob. 45PSCh. 10.7 - Prob. 1GPCh. 10.7 - Prob. 2GPCh. 10.7 - Prob. 3GPCh. 10.7 - Prob. 4GPCh. 10.7 - Prob. 5GPCh. 10.7 - Prob. 6GPCh. 10.7 - Prob. 7GPCh. 10.7 - Prob. 8GPCh. 10.7 - Prob. 9GPCh. 10.7 - Prob. 10GPCh. 10.7 - Prob. 11GPCh. 10.7 - Prob. 12GPCh. 10.7 - Prob. 13GPCh. 10.7 - Prob. 14GPCh. 10.7 - Prob. 1ECh. 10.7 - Prob. 2ECh. 10.7 - Prob. 3ECh. 10.7 - Prob. 4ECh. 10.7 - Prob. 5ECh. 10.7 - Prob. 6ECh. 10.7 - Prob. 7ECh. 10.7 - Prob. 8ECh. 10.7 - Prob. 9ECh. 10.7 - Prob. 10ECh. 10.7 - Prob. 11ECh. 10.7 - Prob. 12ECh. 10.7 - Prob. 13ECh. 10.7 - Prob. 14ECh. 10.7 - Prob. 15ECh. 10.7 - Prob. 16ECh. 10.7 - Prob. 17ECh. 10.7 - Prob. 18ECh. 10.7 - Prob. 19ECh. 10.7 - Prob. 20ECh. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - Prob. 31ECh. 10.7 - Prob. 32ECh. 10.7 - Prob. 33ECh. 10.7 - Prob. 34ECh. 10.7 - Prob. 35ECh. 10.7 - Prob. 36ECh. 10.7 - Prob. 37ECh. 10.7 - Prob. 38ECh. 10.7 - Prob. 39ECh. 10.7 - Prob. 40ECh. 10.7 - Prob. 41ECh. 10.7 - Prob. 42ECh. 10.7 - Prob. 43ECh. 10.7 - Prob. 44ECh. 10.7 - Prob. 45ECh. 10.7 - Prob. 46ECh. 10.7 - Prob. 47ECh. 10.7 - Prob. 48ECh. 10.7 - Prob. 49ECh. 10.7 - Prob. 50PSCh. 10.7 - Prob. 51PSCh. 10.7 - Prob. 52PSCh. 10.7 - Prob. 53PSCh. 10.7 - Prob. 54PSCh. 10.7 - Prob. 55PSCh. 10.7 - Prob. 56PSCh. 10.7 - Prob. 1QCh. 10.7 - Prob. 2QCh. 10.7 - Prob. 3QCh. 10.7 - Prob. 4QCh. 10.7 - Prob. 5QCh. 10.7 - Prob. 6QCh. 10.7 - Prob. 7QCh. 10.7 - Prob. 8QCh. 10.7 - Prob. 9QCh. 10.7 - Prob. 1MRPSCh. 10.7 - Prob. 2MRPSCh. 10.7 - Prob. 3MRPSCh. 10.7 - Prob. 4MRPSCh. 10.7 - Prob. 5MRPSCh. 10 - Prob. 1VECh. 10 - Prob. 2VECh. 10 - Prob. 3VECh. 10 - Prob. 4VECh. 10 - Prob. 5VECh. 10 - Prob. 6REAECh. 10 - Prob. 7REAECh. 10 - Prob. 8REAECh. 10 - Prob. 9REAECh. 10 - Prob. 10REAECh. 10 - Prob. 11REAECh. 10 - Prob. 12REAECh. 10 - Prob. 13REAECh. 10 - Prob. 14REAECh. 10 - Prob. 15REAECh. 10 - Prob. 16REAECh. 10 - Prob. 17REAECh. 10 - Prob. 18REAECh. 10 - Prob. 19REAECh. 10 - Prob. 20REAECh. 10 - Prob. 21REAECh. 10 - Prob. 22REAECh. 10 - Prob. 23REAECh. 10 - Prob. 24REAECh. 10 - Prob. 25REAECh. 10 - Prob. 26REAECh. 10 - 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