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 19PPS
To determine

To graph the function and find the domain and range.

Expert Solution & Answer
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Explanation of Solution

Given:

Function:

  f(x)={3x+4 if x1x+3   if x<1

Calculation for graph:

Consider,

  f(x)={3x+4 if x1x+3   if x<1

Here, substitute different values for x .

For x1, the function is f(x)=3x+4.

    Values of x Values of f (x)
    0 4
    1 7
    -1 1
    2 10
    -2 -2

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

For x<3 , the function is f(x)=x+3 .

    Values of x Values of f (x)
    0 3
    1 4
    -1 2
    2 5
    -2 1

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

Graph:

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 3.7, Problem 19PPS

Interpretation:

Domain of a function is where the function is defined on a graph.

From the graph,

The function is defined at all the points. Therefore, the domain of the graph is (,) for all the values of x .

Also, the range is the set of all values that a function passes through. It is the coordinate pair.

From the graph,

Therefore, the range of the function is (,4)[7,).

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. 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 - 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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 - 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