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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Concept explainers
Question
Chapter 3.1, Problem 34PPS
To determine
To sketch: the given equation and then to state the domain and range.
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
Consider the equation
Concept used:
The domain is the set of input values for which the function is defined.
The range is the set of defined output values.
Calculations:
Make a table of values for
Graph:
Graph the equation
From the above graph,
Domain is
Range is
Chapter 3 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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 - Prob. 50PPSCh. 3.1 - Prob. 51PPSCh. 3.1 - Prob. 52PPSCh. 3.1 - Prob. 53PPSCh. 3.1 - Prob. 54PPSCh. 3.1 - Prob. 55PPSCh. 3.1 - Prob. 56PPSCh. 3.1 - Prob. 57PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 59HPCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 61HPCh. 3.1 - Prob. 62HPCh. 3.1 - Prob. 63HPCh. 3.1 - Prob. 64HPCh. 3.1 - Prob. 65PFACh. 3.1 - Prob. 66PFACh. 3.1 - Prob. 67PFACh. 3.1 - Prob. 68PFACh. 3.2 - Prob. 1AGPCh. 3.2 - Prob. 1BGPCh. 3.2 - Prob. 2GPCh. 3.2 - Prob. 3GPCh. 3.2 - Prob. 1CYUCh. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7CYUCh. 3.2 - Prob. 8CYUCh. 3.2 - Prob. 9CYUCh. 3.2 - Prob. 10PPSCh. 3.2 - Prob. 11PPSCh. 3.2 - Prob. 12PPSCh. 3.2 - Prob. 13PPSCh. 3.2 - Prob. 14PPSCh. 3.2 - Prob. 15PPSCh. 3.2 - Prob. 16PPSCh. 3.2 - Prob. 17PPSCh. 3.2 - Prob. 18PPSCh. 3.2 - Prob. 19PPSCh. 3.2 - Prob. 20PPSCh. 3.2 - Prob. 21PPSCh. 3.2 - Prob. 22PPSCh. 3.2 - Prob. 23PPSCh. 3.2 - Prob. 24PPSCh. 3.2 - Prob. 25PPSCh. 3.2 - Prob. 26PPSCh. 3.2 - Prob. 27PPSCh. 3.2 - Prob. 28PPSCh. 3.2 - Prob. 29PPSCh. 3.2 - Prob. 30PPSCh. 3.2 - Prob. 31PPSCh. 3.2 - Prob. 32PPSCh. 3.2 - Prob. 33PPSCh. 3.2 - Prob. 34PPSCh. 3.2 - Prob. 35PPSCh. 3.2 - Prob. 36PPSCh. 3.2 - Prob. 37PPSCh. 3.2 - Prob. 38PPSCh. 3.2 - Prob. 39PPSCh. 3.2 - Prob. 40PPSCh. 3.2 - Prob. 41PPSCh. 3.2 - Prob. 42PPSCh. 3.2 - Prob. 43PPSCh. 3.2 - Prob. 44PPSCh. 3.2 - Prob. 45PPSCh. 3.2 - Prob. 46HPCh. 3.2 - Prob. 47HPCh. 3.2 - Prob. 48HPCh. 3.2 - Prob. 49HPCh. 3.2 - Prob. 50HPCh. 3.2 - Prob. 51PFACh. 3.2 - Prob. 52PFACh. 3.2 - Prob. 53PFACh. 3.2 - Prob. 54PFACh. 3.2 - Prob. 55PFACh. 3.2 - Prob. 56PFACh. 3.2 - Prob. 57PFACh. 3.2 - Prob. 58PFACh. 3.3 - Prob. 1AGPCh. 3.3 - Prob. 1BGPCh. 3.3 - Prob. 2GPCh. 3.3 - Prob. 3AGPCh. 3.3 - Prob. 3BGPCh. 3.3 - Prob. 4AGPCh. 3.3 - Prob. 4BGPCh. 3.3 - Prob. 4CGPCh. 3.3 - Prob. 5AGPCh. 3.3 - Prob. 5BGPCh. 3.3 - Prob. 6AGPCh. 3.3 - Prob. 6BGPCh. 3.3 - Prob. 1CYUCh. 3.3 - Prob. 2CYUCh. 3.3 - Prob. 3CYUCh. 3.3 - Prob. 4CYUCh. 3.3 - Prob. 5CYUCh. 3.3 - Prob. 6CYUCh. 3.3 - Prob. 7CYUCh. 3.3 - Prob. 8CYUCh. 3.3 - Prob. 9CYUCh. 3.3 - Prob. 10CYUCh. 3.3 - Prob. 11CYUCh. 3.3 - Prob. 12CYUCh. 3.3 - Prob. 13CYUCh. 3.3 - Prob. 14PPSCh. 3.3 - Prob. 15PPSCh. 3.3 - Prob. 16PPSCh. 3.3 - Prob. 17PPSCh. 3.3 - Prob. 18PPSCh. 3.3 - Prob. 19PPSCh. 3.3 - Prob. 20PPSCh. 3.3 - Prob. 21PPSCh. 3.3 - Prob. 22PPSCh. 3.3 - Prob. 23PPSCh. 3.3 - Prob. 24PPSCh. 3.3 - Prob. 25PPSCh. 3.3 - Prob. 26PPSCh. 3.3 - Prob. 27PPSCh. 3.3 - Prob. 28PPSCh. 3.3 - Prob. 29PPSCh. 3.3 - Prob. 30PPSCh. 3.3 - Prob. 31PPSCh. 3.3 - Prob. 32PPSCh. 3.3 - Prob. 33PPSCh. 3.3 - Prob. 34PPSCh. 3.3 - Prob. 35PPSCh. 3.3 - Prob. 36PPSCh. 3.3 - Prob. 37PPSCh. 3.3 - Prob. 38PPSCh. 3.3 - Prob. 39PPSCh. 3.3 - Prob. 40PPSCh. 3.3 - Prob. 41PPSCh. 3.3 - Prob. 42PPSCh. 3.3 - Prob. 43PPSCh. 3.3 - Prob. 44PPSCh. 3.3 - Prob. 45PPSCh. 3.3 - Prob. 46PPSCh. 3.3 - Prob. 47PPSCh. 3.3 - Prob. 48HPCh. 3.3 - Prob. 49HPCh. 3.3 - Prob. 50HPCh. 3.3 - Prob. 51HPCh. 3.3 - Prob. 52HPCh. 3.3 - Prob. 53PFACh. 3.3 - Prob. 54PFACh. 3.3 - Prob. 55PFACh. 3.3 - Prob. 56PFACh. 3.3 - Prob. 57PFACh. 3.3 - Prob. 58PFACh. 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. 4GPCh. 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. 39HPCh. 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 - Prob. 41SGRCh. 3 - Prob. 42SGRCh. 3 - Prob. 43SGRCh. 3 - Prob. 44SGRCh. 3 - Prob. 45SGRCh. 3 - Prob. 46SGRCh. 3 - Prob. 47SGRCh. 3 - Prob. 48SGRCh. 3 - Prob. 49SGRCh. 3 - Prob. 50SGRCh. 3 - Prob. 51SGRCh. 3 - Prob. 52SGRCh. 3 - Prob. 53SGRCh. 3 - Prob. 54SGRCh. 3 - Prob. 55SGRCh. 3 - Prob. 56SGRCh. 3 - Prob. 57SGRCh. 3 - Prob. 58SGRCh. 3 - Prob. 59SGRCh. 3 - Prob. 60SGRCh. 3 - Prob. 61SGRCh. 3 - Prob. 62SGRCh. 3 - Prob. 63SGRCh. 3 - Prob. 64SGRCh. 3 - Prob. 65SGRCh. 3 - Prob. 66SGRCh. 3 - Prob. 67SGRCh. 3 - Prob. 68SGRCh. 3 - Prob. 69SGRCh. 3 - Prob. 70SGRCh. 3 - Prob. 71SGRCh. 3 - Prob. 72SGRCh. 3 - Prob. 73SGRCh. 3 - Prob. 74SGRCh. 3 - Prob. 75SGRCh. 3 - Prob. 76SGRCh. 3 - Prob. 77SGRCh. 3 - Prob. 78SGRCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - 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. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CR
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- You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forwardshow that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45arrow_forward
- Chapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045. 2) Find Θ given sec Θ = 4.213. 3) Find Θ given cot Θ = 0.579. Solve the following three right triangles. B 21.0 34.6° ca 52.5 4)c 26° 5) A b 6) B 84.0 a 42° barrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor. Q2: Answer only two A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}. fe B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence (f(x)) converge to (f(x)) in Y. Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as normed space B: Let A be a finite dimension subspace of a Banach space X, show that A is closed. C: Show that every finite dimension normed space is Banach space.arrow_forward• Plane II is spanned by the vectors: P12 P2 = 1 • Subspace W is spanned by the vectors: W₁ = -- () · 2 1 W2 = 0arrow_forward
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