High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter 4, Problem 19CT
To determine

To find: whether a function can have infinite number of values in its domain and finite number of values in range or not. And to describe a real life situation that is modeled by such a function.

Expert Solution & Answer
Check Mark

Answer to Problem 19CT

Yes, a function can have infinite number of values in its domain and finite number of values in range.

Explanation of Solution

A function can have infinite number of values in its domain and finite number of values in range. Sin function is an example of that kind.

And the ratio of height of a tree and its shadow can be modeled by Sin function which is the required kind of function.

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Chapter 4, Problem 18CT
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Chapter 4, Problem 20CT

Chapter 4 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 4.1 - Prob. 1PCh. 4.1 - Prob. 2PCh. 4.1 - Prob. 3PCh. 4.1 - Prob. 1LCCh. 4.1 - Prob. 2LCCh. 4.1 - Prob. 3LCCh. 4.1 - Prob. 4LCCh. 4.1 - Prob. 5PPECh. 4.1 - Prob. 6PPECh. 4.1 - Prob. 7PPE
Ch. 4.1 - Prob. 8PPECh. 4.1 - Prob. 9PPECh. 4.1 - Prob. 10PPECh. 4.1 - Prob. 11PPECh. 4.1 - Prob. 12PPECh. 4.1 - Prob. 13PPECh. 4.1 - Prob. 14PPECh. 4.1 - Prob. 15PPECh. 4.1 - Prob. 16PPECh. 4.1 - Prob. 17PPECh. 4.1 - Prob. 18PPECh. 4.1 - Prob. 19PPECh. 4.1 - Prob. 20PPECh. 4.1 - Prob. 21STPCh. 4.1 - Prob. 22STPCh. 4.1 - Prob. 23STPCh. 4.1 - Prob. 24MRCh. 4.1 - Prob. 25MRCh. 4.1 - Prob. 26MRCh. 4.1 - Prob. 27MRCh. 4.1 - Prob. 28MRCh. 4.1 - Prob. 29MRCh. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 1LCCh. 4.2 - Prob. 2LCCh. 4.2 - Prob. 3LCCh. 4.2 - Prob. 4LCCh. 4.2 - Prob. 5LCCh. 4.2 - Prob. 6PPECh. 4.2 - Prob. 7PPECh. 4.2 - Prob. 8PPECh. 4.2 - Prob. 9PPECh. 4.2 - Prob. 10PPECh. 4.2 - Prob. 11PPECh. 4.2 - Prob. 12PPECh. 4.2 - Prob. 13PPECh. 4.2 - Prob. 14PPECh. 4.2 - Prob. 15PPECh. 4.2 - Prob. 16PPECh. 4.2 - Prob. 17PPECh. 4.2 - Prob. 18PPECh. 4.2 - Prob. 19PPECh. 4.2 - Prob. 20PPECh. 4.2 - Prob. 1MPCh. 4.3 - Prob. 1PCh. 4.3 - Prob. 2PCh. 4.3 - Prob. 3PCh. 4.3 - Prob. 1LCCh. 4.3 - Prob. 2LCCh. 4.3 - Prob. 3LCCh. 4.3 - Prob. 4LCCh. 4.3 - Prob. 5LCCh. 4.3 - Prob. 6PPECh. 4.3 - Prob. 7PPECh. 4.3 - Prob. 8PPECh. 4.3 - Prob. 9PPECh. 4.3 - Prob. 10PPECh. 4.3 - Prob. 11PPECh. 4.3 - Prob. 12PPECh. 4.3 - Prob. 13PPECh. 4.3 - Prob. 14PPECh. 4.3 - Prob. 15PPECh. 4.3 - Prob. 16PPECh. 4.3 - Prob. 17PPECh. 4.3 - Prob. 18PPECh. 4.3 - Prob. 19PPECh. 4.3 - Prob. 20PPECh. 4.3 - Prob. 21PPECh. 4.3 - Prob. 22PPECh. 4.3 - Prob. 23STPCh. 4.3 - Prob. 24STPCh. 4.3 - Prob. 25STPCh. 4.3 - Prob. 26MRCh. 4.3 - Prob. 27MRCh. 4.3 - Prob. 28MRCh. 4.3 - Prob. 29MRCh. 4.3 - Prob. 1MCQCh. 4.3 - Prob. 2MCQCh. 4.3 - Prob. 3MCQCh. 4.3 - Prob. 4MCQCh. 4.3 - Prob. 5MCQCh. 4.3 - Prob. 6MCQCh. 4.3 - Prob. 7MCQCh. 4.3 - Prob. 8MCQCh. 4.3 - Prob. 9MCQCh. 4.3 - Prob. 10MCQCh. 4.3 - Prob. 11MCQCh. 4.4 - Prob. 1PCh. 4.4 - Prob. 2PCh. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Prob. 1LCCh. 4.4 - Prob. 2LCCh. 4.4 - Prob. 3LCCh. 4.4 - Prob. 4LCCh. 4.4 - Prob. 5LCCh. 4.4 - Prob. 6LCCh. 4.4 - Prob. 7LCCh. 4.4 - Prob. 8LCCh. 4.4 - Prob. 9PPECh. 4.4 - Prob. 10PPECh. 4.4 - Prob. 11PPECh. 4.4 - Prob. 12PPECh. 4.4 - Prob. 13PPECh. 4.4 - Prob. 14PPECh. 4.4 - Prob. 15PPECh. 4.4 - Prob. 16PPECh. 4.4 - Prob. 17PPECh. 4.4 - Prob. 18PPECh. 4.4 - Prob. 19PPECh. 4.4 - Prob. 20PPECh. 4.4 - Prob. 21PPECh. 4.4 - Prob. 22PPECh. 4.4 - Prob. 23PPECh. 4.4 - Prob. 24PPECh. 4.4 - Prob. 25PPECh. 4.4 - Prob. 26PPECh. 4.4 - Prob. 27PPECh. 4.4 - Prob. 28PPECh. 4.4 - Prob. 29PPECh. 4.4 - Prob. 30PPECh. 4.4 - Prob. 31PPECh. 4.4 - Prob. 32PPECh. 4.4 - Prob. 33PPECh. 4.4 - Prob. 34PPECh. 4.4 - Prob. 35PPECh. 4.4 - Prob. 36PPECh. 4.4 - Prob. 37PPECh. 4.4 - Prob. 38PPECh. 4.4 - Prob. 39PPECh. 4.4 - Prob. 40PPECh. 4.4 - Prob. 41PPECh. 4.4 - Prob. 1MPCh. 4.4 - Prob. 1CBCh. 4.4 - Prob. 2CBCh. 4.4 - Prob. 3CBCh. 4.4 - Prob. 4CBCh. 4.4 - Prob. 5CBCh. 4.4 - Prob. 6CBCh. 4.4 - Prob. 7CBCh. 4.4 - Prob. 8CBCh. 4.4 - Prob. 9CBCh. 4.4 - Prob. 10CBCh. 4.4 - Prob. 11CBCh. 4.4 - Prob. 12CBCh. 4.4 - Prob. 13CBCh. 4.4 - Prob. 14CBCh. 4.5 - Prob. 1PCh. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 1LCCh. 4.5 - Prob. 2LCCh. 4.5 - Prob. 3LCCh. 4.5 - Prob. 4LCCh. 4.5 - Prob. 5LCCh. 4.5 - Prob. 6LCCh. 4.5 - Prob. 7LCCh. 4.5 - Prob. 8PPECh. 4.5 - Prob. 9PPECh. 4.5 - Prob. 10PPECh. 4.5 - Prob. 11PPECh. 4.5 - Prob. 12PPECh. 4.5 - Prob. 13PPECh. 4.5 - Prob. 14PPECh. 4.5 - Prob. 15PPECh. 4.5 - Prob. 16PPECh. 4.5 - Prob. 17PPECh. 4.5 - Prob. 18PPECh. 4.5 - Prob. 19PPECh. 4.5 - Prob. 20PPECh. 4.5 - Prob. 21PPECh. 4.5 - Prob. 22PPECh. 4.5 - Prob. 23PPECh. 4.5 - Prob. 24PPECh. 4.5 - Prob. 25PPECh. 4.5 - Prob. 26PPECh. 4.5 - Prob. 27PPECh. 4.5 - Prob. 28PPECh. 4.5 - Prob. 29PPECh. 4.5 - Prob. 30PPECh. 4.5 - Prob. 31PPECh. 4.5 - Prob. 32PPECh. 4.5 - Prob. 33STPCh. 4.5 - Prob. 34STPCh. 4.5 - Prob. 35STPCh. 4.5 - Prob. 36STPCh. 4.5 - Prob. 37MRCh. 4.5 - Prob. 38MRCh. 4.5 - Prob. 39MRCh. 4.5 - Prob. 40MRCh. 4.5 - Prob. 41MRCh. 4.5 - Prob. 42MRCh. 4.5 - Prob. 43MRCh. 4.5 - Prob. 44MRCh. 4.5 - Prob. 45MRCh. 4.5 - Prob. 46MRCh. 4.5 - Prob. 47MRCh. 4.5 - Prob. 48MRCh. 4.5 - Prob. 49MRCh. 4.5 - Prob. 50MRCh. 4.5 - Prob. 51MRCh. 4.5 - Prob. 52MRCh. 4.5 - Prob. 53MRCh. 4.5 - Prob. 54MRCh. 4.5 - Prob. 55MRCh. 4.5 - Prob. 56MRCh. 4.6 - Prob. 1PCh. 4.6 - Prob. 2PCh. 4.6 - Prob. 3PCh. 4.6 - Prob. 4PCh. 4.6 - Prob. 5PCh. 4.6 - Prob. 1LCCh. 4.6 - Prob. 2LCCh. 4.6 - Prob. 3LCCh. 4.6 - Prob. 4LCCh. 4.6 - Prob. 5LCCh. 4.6 - Prob. 6LCCh. 4.6 - Prob. 7LCCh. 4.6 - Prob. 8PPECh. 4.6 - Prob. 9PPECh. 4.6 - Prob. 10PPECh. 4.6 - Prob. 11PPECh. 4.6 - Prob. 12PPECh. 4.6 - Prob. 13PPECh. 4.6 - Prob. 14PPECh. 4.6 - Prob. 15PPECh. 4.6 - Prob. 16PPECh. 4.6 - Prob. 17PPECh. 4.6 - Prob. 18PPECh. 4.6 - Prob. 19PPECh. 4.6 - Prob. 20PPECh. 4.6 - Prob. 21PPECh. 4.6 - Prob. 22PPECh. 4.6 - Prob. 23PPECh. 4.6 - Prob. 24PPECh. 4.6 - Prob. 25PPECh. 4.6 - Prob. 26PPECh. 4.6 - Prob. 27PPECh. 4.6 - Prob. 28PPECh. 4.6 - Prob. 29PPECh. 4.6 - Prob. 30PPECh. 4.6 - Prob. 31PPECh. 4.6 - Prob. 32PPECh. 4.6 - Prob. 33PPECh. 4.6 - Prob. 34PPECh. 4.6 - Prob. 35PPECh. 4.6 - Prob. 36PPECh. 4.6 - Prob. 37PPECh. 4.6 - Prob. 38PPECh. 4.6 - Prob. 39PPECh. 4.6 - Prob. 40PPECh. 4.6 - Prob. 41STPCh. 4.6 - Prob. 42STPCh. 4.6 - Prob. 43STPCh. 4.6 - Prob. 44STPCh. 4.6 - Prob. 45MRCh. 4.6 - Prob. 46MRCh. 4.6 - Prob. 47MRCh. 4.6 - Prob. 48MRCh. 4.6 - Prob. 49MRCh. 4.6 - Prob. 50MRCh. 4.7 - Prob. 1PCh. 4.7 - Prob. 2PCh. 4.7 - Prob. 3PCh. 4.7 - Prob. 4PCh. 4.7 - Prob. 5PCh. 4.7 - Prob. 6PCh. 4.7 - Prob. 1LCCh. 4.7 - Prob. 2LCCh. 4.7 - Prob. 3LCCh. 4.7 - Prob. 4LCCh. 4.7 - Prob. 5LCCh. 4.7 - Prob. 6LCCh. 4.7 - Prob. 7LCCh. 4.7 - Prob. 8LCCh. 4.7 - Prob. 9PPECh. 4.7 - Prob. 10PPECh. 4.7 - Prob. 11PPECh. 4.7 - Prob. 12PPECh. 4.7 - Prob. 13PPECh. 4.7 - Prob. 14PPECh. 4.7 - Prob. 15PPECh. 4.7 - Prob. 16PPECh. 4.7 - Prob. 17PPECh. 4.7 - Prob. 18PPECh. 4.7 - Prob. 19PPECh. 4.7 - Prob. 20PPECh. 4.7 - Prob. 21PPECh. 4.7 - Prob. 22PPECh. 4.7 - Prob. 23PPECh. 4.7 - Prob. 24PPECh. 4.7 - Prob. 25PPECh. 4.7 - Prob. 26PPECh. 4.7 - Prob. 27PPECh. 4.7 - Prob. 28PPECh. 4.7 - Prob. 29PPECh. 4.7 - Prob. 30PPECh. 4.7 - Prob. 31PPECh. 4.7 - Prob. 32PPECh. 4.7 - Prob. 33PPECh. 4.7 - Prob. 34PPECh. 4.7 - Prob. 35PPECh. 4.7 - Prob. 36PPECh. 4.7 - Prob. 37PPECh. 4.7 - Prob. 38PPECh. 4.7 - Prob. 39PPECh. 4.7 - Prob. 40PPECh. 4.7 - Prob. 41PPECh. 4.7 - Prob. 42PPECh. 4.7 - Prob. 43PPECh. 4.7 - Prob. 44PPECh. 4.7 - Prob. 45PPECh. 4.7 - Prob. 46PPECh. 4.7 - Prob. 47PPECh. 4.7 - Prob. 48PPECh. 4.7 - Prob. 49PPECh. 4.7 - Prob. 50PPECh. 4.7 - Prob. 51PPECh. 4.7 - Prob. 52PPECh. 4.7 - Prob. 53PPECh. 4.7 - Prob. 54PPECh. 4.7 - Prob. 55PPECh. 4.7 - Prob. 56PPECh. 4.7 - Prob. 57PPECh. 4.7 - Prob. 58PPECh. 4.7 - Prob. 59PPECh. 4.7 - Prob. 60PPECh. 4.7 - Prob. 61PPECh. 4.7 - Prob. 62PPECh. 4.7 - Prob. 63PPECh. 4.7 - Prob. 64PPECh. 4.7 - Prob. 65PPECh. 4.7 - Prob. 66PPECh. 4.7 - Prob. 67PPECh. 4.7 - Prob. 68PPECh. 4.7 - Prob. 69PPECh. 4.7 - Prob. 70PPECh. 4.7 - Prob. 71PPECh. 4.7 - Prob. 72PPECh. 4.7 - Prob. 73PPECh. 4.7 - Prob. 74PPECh. 4.7 - Prob. 75PPECh. 4.7 - Prob. 1MPCh. 4 - Prob. 1GRCh. 4 - Prob. 2GRCh. 4 - Prob. 3GRCh. 4 - Prob. 4GRCh. 4 - Prob. 5GRCh. 4 - Prob. 6GRCh. 4 - Prob. 7GRCh. 4 - Prob. 8GRCh. 4 - Prob. 9GRCh. 4 - Prob. 10GRCh. 4 - Prob. 11GRCh. 4 - Prob. 12GRCh. 4 - Prob. 13GRCh. 4 - Prob. 14GRCh. 4 - Prob. 15GRCh. 4 - Prob. 16GRCh. 4 - Prob. 17GRCh. 4 - Prob. 18GRCh. 4 - Prob. 19GRCh. 4 - Prob. 20GRCh. 4 - Prob. 21GRCh. 4 - Prob. 22GRCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 21CRCh. 4 - Prob. 22CRCh. 4 - Prob. 23CRCh. 4 - Prob. 24CRCh. 4 - Prob. 25CRCh. 4 - Prob. 26CRCh. 4 - Prob. 27CRCh. 4 - Prob. 28CRCh. 4 - Prob. 29CRCh. 4 - Prob. 30CRCh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 1CCSRCh. 4 - Prob. 2CCSRCh. 4 - Prob. 3CCSRCh. 4 - Prob. 4CCSRCh. 4 - Prob. 5CCSRCh. 4 - Prob. 6CCSRCh. 4 - Prob. 7CCSRCh. 4 - Prob. 8CCSRCh. 4 - Prob. 9CCSRCh. 4 - Prob. 10CCSRCh. 4 - Prob. 11CCSRCh. 4 - Prob. 12CCSRCh. 4 - Prob. 13CCSRCh. 4 - Prob. 14CCSRCh. 4 - Prob. 15CCSRCh. 4 - Prob. 16CCSRCh. 4 - Prob. 17CCSRCh. 4 - Prob. 18CCSRCh. 4 - Prob. 19CCSRCh. 4 - Prob. 20CCSRCh. 4 - Prob. 21CCSRCh. 4 - Prob. 22CCSRCh. 4 - Prob. 23CCSRCh. 4 - Prob. 24CCSRCh. 4 - Prob. 25CCSRCh. 4 - Prob. 26CCSRCh. 4 - Prob. 27CCSR

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