Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 3.7, Problem 38HP

a.

To determine

To determine whether the graph of f(x)={3x+4 if x<0x2 if  x0 includes the point (0,4) .

Expert Solution & Answer
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Explanation of Solution

Given:

Function: f(x)={3x+4 if x<0x2 if  x0

Concept used:

A piecewise defined function is a function defined by at least two equations (“pieces”), each of which applies to a different part of the domain.

When graphing a piecewise function, focus on where the changes in the graph occur.

Calculation for graph:

Consider the function f(x)={3x+4 if x<0x2 if  x0,

Here, from x -values less than 0, the graph is a straight line and from x -values from 0 to , the graph is a straight line.

    Values of x Values of f (x)
    210
    17
    02
    11
    20

By taking different values of x , the graph can be plotted.

Graph:

The graph of f(x)={3x+4 if x<0x2 if  x0 :

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 3.7, Problem 38HP

Interpretation:

From the graph, it can be observed that the point (0,4) is not included in the graph.

The error made by Dylan is that he has considered 0 in the interval (,0) which is not true according to the function defined.

The value of f(0)=2 .

Chapter 3 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46PPSCh. 3.1 - Prob. 47PPSCh. 3.1 - Prob. 48PPSCh. 3.1 - Prob. 49PPSCh. 3.1 - 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Prob. 55PPSCh. 3.3 - Prob. 56PPSCh. 3.3 - Prob. 57PPSCh. 3.3 - Prob. 58PPSCh. 3.4 - Prob. 1AGPCh. 3.4 - Prob. 1BGPCh. 3.4 - Prob. 2AGPCh. 3.4 - Prob. 2BGPCh. 3.4 - Prob. 3AGPCh. 3.4 - Prob. 3BGPCh. 3.4 - Prob. 4GPCh. 3.4 - Prob. 5GPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8CYUCh. 3.4 - Prob. 9CYUCh. 3.4 - Prob. 10CYUCh. 3.4 - Prob. 11CYUCh. 3.4 - Prob. 12CYUCh. 3.4 - Prob. 13CYUCh. 3.4 - Prob. 14CYUCh. 3.4 - Prob. 15CYUCh. 3.4 - Prob. 16CYUCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24PPSCh. 3.4 - Prob. 25PPSCh. 3.4 - Prob. 26PPSCh. 3.4 - Prob. 27PPSCh. 3.4 - Prob. 28PPSCh. 3.4 - Prob. 29PPSCh. 3.4 - Prob. 30PPSCh. 3.4 - Prob. 31PPSCh. 3.4 - Prob. 32PPSCh. 3.4 - Prob. 33PPSCh. 3.4 - Prob. 34PPSCh. 3.4 - Prob. 35PPSCh. 3.4 - Prob. 36PPSCh. 3.4 - Prob. 37PPSCh. 3.4 - Prob. 38PPSCh. 3.4 - Prob. 39PPSCh. 3.4 - Prob. 40PPSCh. 3.4 - Prob. 41PPSCh. 3.4 - Prob. 42PPSCh. 3.4 - Prob. 43PPSCh. 3.4 - Prob. 44PPSCh. 3.4 - Prob. 45PPSCh. 3.4 - Prob. 46PPSCh. 3.4 - Prob. 47PPSCh. 3.4 - Prob. 48PPSCh. 3.4 - Prob. 49PPSCh. 3.4 - Prob. 50PPSCh. 3.4 - Prob. 51PPSCh. 3.4 - Prob. 52PPSCh. 3.4 - Prob. 53PPSCh. 3.4 - Prob. 54PPSCh. 3.4 - Prob. 55PPSCh. 3.4 - Prob. 56PPSCh. 3.4 - Prob. 57PPSCh. 3.4 - Prob. 58PPSCh. 3.4 - Prob. 59PPSCh. 3.4 - Prob. 60PPSCh. 3.4 - Prob. 61PPSCh. 3.4 - Prob. 62HPCh. 3.4 - Prob. 63HPCh. 3.4 - Prob. 64HPCh. 3.4 - Prob. 65HPCh. 3.4 - Prob. 66HPCh. 3.4 - Prob. 67PFACh. 3.4 - Prob. 68PFACh. 3.4 - Prob. 69PFACh. 3.4 - Prob. 70PFACh. 3.4 - Prob. 71PFACh. 3.4 - Prob. 72PFACh. 3.4 - Prob. 73PFACh. 3.4 - Prob. 74PFACh. 3.5 - Prob. 1AGPCh. 3.5 - Prob. 1BGPCh. 3.5 - Prob. 2AGPCh. 3.5 - Prob. 2BGPCh. 3.5 - Prob. 3AGPCh. 3.5 - Prob. 3BGPCh. 3.5 - Prob. 4AGPCh. 3.5 - Prob. 4BGPCh. 3.5 - Prob. 5GPCh. 3.5 - Prob. 6GPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8CYUCh. 3.5 - Prob. 9CYUCh. 3.5 - Prob. 10CYUCh. 3.5 - Prob. 11CYUCh. 3.5 - Prob. 12PPSCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 31PPSCh. 3.5 - Prob. 32PPSCh. 3.5 - Prob. 33PPSCh. 3.5 - Prob. 34PPSCh. 3.5 - Prob. 35PPSCh. 3.5 - Prob. 36PPSCh. 3.5 - Prob. 37PPSCh. 3.5 - Prob. 38PPSCh. 3.5 - Prob. 39PPSCh. 3.5 - Prob. 40PPSCh. 3.5 - Prob. 41PPSCh. 3.5 - Prob. 42PPSCh. 3.5 - Prob. 43PPSCh. 3.5 - Prob. 44PPSCh. 3.5 - Prob. 45PPSCh. 3.5 - Prob. 46PPSCh. 3.5 - Prob. 47PPSCh. 3.5 - Prob. 48PPSCh. 3.5 - Prob. 49PPSCh. 3.5 - Prob. 50PPSCh. 3.5 - Prob. 51PPSCh. 3.5 - Prob. 52HPCh. 3.5 - Prob. 53HPCh. 3.5 - Prob. 54HPCh. 3.5 - Prob. 55HPCh. 3.5 - Prob. 56HPCh. 3.5 - Prob. 57PFACh. 3.5 - Prob. 58PFACh. 3.5 - Prob. 59PFACh. 3.5 - Prob. 60PFACh. 3.5 - Prob. 61PFACh. 3.5 - Prob. 62PFACh. 3.5 - Prob. 63PFACh. 3.5 - Prob. 64PFACh. 3.6 - Prob. 1AGPCh. 3.6 - Prob. 1BGPCh. 3.6 - Prob. 2GPCh. 3.6 - Prob. 3AGPCh. 3.6 - Prob. 3BGPCh. 3.6 - Prob. 3CGPCh. 3.6 - Prob. 3DGPCh. 3.6 - Prob. 4AGPCh. 3.6 - Prob. 4BGPCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 4CYUCh. 3.6 - Prob. 5CYUCh. 3.6 - Prob. 6CYUCh. 3.6 - Prob. 7CYUCh. 3.6 - Prob. 8PPSCh. 3.6 - Prob. 9PPSCh. 3.6 - Prob. 10PPSCh. 3.6 - Prob. 11PPSCh. 3.6 - Prob. 12PPSCh. 3.6 - Prob. 13PPSCh. 3.6 - Prob. 14PPSCh. 3.6 - Prob. 15PPSCh. 3.6 - Prob. 16PPSCh. 3.6 - Prob. 17PPSCh. 3.6 - Prob. 18PPSCh. 3.6 - Prob. 19PPSCh. 3.6 - Prob. 20PPSCh. 3.6 - Prob. 21PPSCh. 3.6 - Prob. 22PPSCh. 3.6 - Prob. 23PPSCh. 3.6 - Prob. 24PPSCh. 3.6 - Prob. 25PPSCh. 3.6 - Prob. 26PPSCh. 3.6 - Prob. 27PPSCh. 3.6 - Prob. 28PPSCh. 3.6 - Prob. 29PPSCh. 3.6 - Prob. 30PPSCh. 3.6 - Prob. 31PPSCh. 3.6 - Prob. 32HPCh. 3.6 - Prob. 33HPCh. 3.6 - Prob. 34HPCh. 3.6 - Prob. 35HPCh. 3.6 - Prob. 36HPCh. 3.6 - Prob. 37PFACh. 3.6 - Prob. 38PFACh. 3.6 - Prob. 39PFACh. 3.6 - Prob. 40PFACh. 3.6 - Prob. 41PFACh. 3.6 - Prob. 42PFACh. 3.6 - Prob. 43PFACh. 3.7 - Prob. 1GPCh. 3.7 - Prob. 2GPCh. 3.7 - Prob. 3GPCh. 3.7 - Prob. 4GPCh. 3.7 - Prob. 1CYUCh. 3.7 - Prob. 2CYUCh. 3.7 - Prob. 3CYUCh. 3.7 - Prob. 4CYUCh. 3.7 - Prob. 5CYUCh. 3.7 - Prob. 6CYUCh. 3.7 - Prob. 7CYUCh. 3.7 - Prob. 8PPSCh. 3.7 - Prob. 9PPSCh. 3.7 - Prob. 10PPSCh. 3.7 - Prob. 11PPSCh. 3.7 - Prob. 12PPSCh. 3.7 - Prob. 13PPSCh. 3.7 - Prob. 14PPSCh. 3.7 - Prob. 15PPSCh. 3.7 - Prob. 16PPSCh. 3.7 - Prob. 17PPSCh. 3.7 - Prob. 18PPSCh. 3.7 - Prob. 19PPSCh. 3.7 - Prob. 20PPSCh. 3.7 - Prob. 21PPSCh. 3.7 - Prob. 22PPSCh. 3.7 - Prob. 23PPSCh. 3.7 - Prob. 24PPSCh. 3.7 - Prob. 25PPSCh. 3.7 - Prob. 26PPSCh. 3.7 - Prob. 27PPSCh. 3.7 - Prob. 28PPSCh. 3.7 - Prob. 29PPSCh. 3.7 - Prob. 30PPSCh. 3.7 - Prob. 31PPSCh. 3.7 - Prob. 32PPSCh. 3.7 - Prob. 33PPSCh. 3.7 - Prob. 34PPSCh. 3.7 - Prob. 35PPSCh. 3.7 - Prob. 36PPSCh. 3.7 - Prob. 37HPCh. 3.7 - Prob. 38HPCh. 3.7 - Prob. 40HPCh. 3.7 - Prob. 41PFACh. 3.7 - Prob. 42PFACh. 3.7 - Prob. 43PFACh. 3.7 - Prob. 44PFACh. 3.7 - Prob. 45PFACh. 3.8 - Prob. 1GPCh. 3.8 - Prob. 2GPCh. 3.8 - Prob. 3GPCh. 3.8 - Prob. 4GPCh. 3.8 - Prob. 5GPCh. 3.8 - Prob. 1CYUCh. 3.8 - Prob. 2CYUCh. 3.8 - Prob. 3CYUCh. 3.8 - Prob. 4CYUCh. 3.8 - Prob. 5CYUCh. 3.8 - Prob. 6CYUCh. 3.8 - Prob. 7CYUCh. 3.8 - Prob. 8CYUCh. 3.8 - Prob. 9CYUCh. 3.8 - Prob. 10CYUCh. 3.8 - Prob. 11CYUCh. 3.8 - Prob. 12CYUCh. 3.8 - Prob. 13CYUCh. 3.8 - Prob. 14PPSCh. 3.8 - Prob. 15PPSCh. 3.8 - Prob. 16PPSCh. 3.8 - Prob. 17PPSCh. 3.8 - Prob. 18PPSCh. 3.8 - Prob. 19PPSCh. 3.8 - Prob. 20PPSCh. 3.8 - Prob. 21PPSCh. 3.8 - Prob. 22PPSCh. 3.8 - Prob. 23PPSCh. 3.8 - Prob. 24PPSCh. 3.8 - Prob. 25PPSCh. 3.8 - Prob. 26PPSCh. 3.8 - Prob. 27PPSCh. 3.8 - Prob. 28PPSCh. 3.8 - Prob. 29PPSCh. 3.8 - Prob. 30PPSCh. 3.8 - Prob. 31PPSCh. 3.8 - Prob. 32PPSCh. 3.8 - Prob. 33PPSCh. 3.8 - Prob. 34PPSCh. 3.8 - Prob. 35PPSCh. 3.8 - Prob. 36PPSCh. 3.8 - Prob. 37PPSCh. 3.8 - Prob. 38PPSCh. 3.8 - Prob. 39PPSCh. 3.8 - Prob. 40PPSCh. 3.8 - Prob. 41PPSCh. 3.8 - Prob. 42PPSCh. 3.8 - Prob. 43PPSCh. 3.8 - Prob. 44PPSCh. 3.8 - Prob. 45PPSCh. 3.8 - Prob. 46PPSCh. 3.8 - Prob. 47PPSCh. 3.8 - Prob. 48PPSCh. 3.8 - Prob. 49PPSCh. 3.8 - Prob. 50PPSCh. 3.8 - Prob. 51PPSCh. 3.8 - Prob. 52PPSCh. 3.8 - Prob. 53PPSCh. 3.8 - Prob. 54HPCh. 3.8 - Prob. 55HPCh. 3.8 - Prob. 56HPCh. 3.8 - Prob. 57HPCh. 3.8 - Prob. 58HPCh. 3.8 - Prob. 59HPCh. 3.8 - Prob. 60PFACh. 3.8 - Prob. 61PFACh. 3.8 - Prob. 62PFACh. 3.8 - Prob. 63PFACh. 3.8 - Prob. 64PFACh. 3.8 - Prob. 65PFACh. 3.8 - Prob. 66PFACh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 23MCQCh. 3 - Prob. 24MCQCh. 3 - Prob. 25MCQCh. 3 - Prob. 26MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 31SGRCh. 3 - Prob. 32SGRCh. 3 - Prob. 33SGRCh. 3 - Prob. 34SGRCh. 3 - Prob. 35SGRCh. 3 - Prob. 36SGRCh. 3 - Prob. 37SGRCh. 3 - Prob. 38SGRCh. 3 - Prob. 39SGRCh. 3 - Prob. 40SGRCh. 3 - 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Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 24PTCh. 3 - Prob. 25PTCh. 3 - Prob. 26PTCh. 3 - Prob. 27PTCh. 3 - Prob. 1PFACh. 3 - Prob. 2PFACh. 3 - Prob. 3PFACh. 3 - Prob. 4PFACh. 3 - Prob. 5PFACh. 3 - Prob. 6PFACh. 3 - Prob. 7PFACh. 3 - Prob. 8PFACh. 3 - Prob. 9PFACh. 3 - Prob. 10PFACh. 3 - Prob. 11PFACh. 3 - Prob. 12PFACh. 3 - Prob. 13PFACh. 3 - Prob. 14PFA
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