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<Startup-Code startupcode="plots:-setoptions('labels' = [&quot;x&quot;, &quot;y&quot;],\012        'font' = [&quot;Times New Roman&quot;, 12],\012        'thickness' = 2):\012\012\012M4_1_3a := module()\012    export\012        Click,\012        Drag,\012        EndDrag,\012        Clear;\012\012    local\012        GetIntervals,\012        DoPlot,\012        points,\012        domain,\012        range,\012        farx,\012        new;\012\012    uses DT = DocumentTools;\012    points := [];\012    new := true;\012\012\012    Click := proc()\012        local x, y;\012        DT:-Do( x = %Plot0( &quot;clickx&quot; ) );\012        DT:-Do( y = %Plot0( &quot;clicky&quot; ) );\012\012        if new or signum( points[1, 1]-farx ) = signum( farx-x ) or\012                points[1, 1] = farx then\012            points := [op( points ), [x, y], [undefined, undefined]];\012            DoPlot();\012            farx := x;\012            new := false;\012        end if;\012\012    end proc; # Click\012\012\012    Drag := proc()\012        local x, y;\012        DT:-Do( x = %Plot0( &quot;endx&quot; ) );\012        DT:-Do( y = %Plot0( &quot;endy&quot; ) );\012\012        if new or signum( points[1, 1]-farx ) = signum( farx-x ) or\012                points[1, 1] = farx then\012            points := [op( points ), [x, y]];\012            DoPlot();\012            farx := x;\012            new := false;\012        end if;\012\012    end proc; # Drag\012\012\012    EndDrag := proc()\012        points := [op( points ), [undefined, undefined]];\012    end proc; # EndDrag\012\012\012    Clear := proc()\012        points := [];\012        new := true;\012        DT:-Do( %Plot0 = plots:-pointplot( [], 'view' = [-10..10, -10..10], 'title' = &quot;Dom\303\255nio e Imagem&quot; ) );\012    end proc; # Clear\012\012\012    DoPlot := proc()\012        local xInts, yInts, singletons;\012\012        xInts := GetIntervals( op~( 1, points ), 0 );\012        yInts := GetIntervals( op~( 2, points ), 1 );\012\012        singletons := select( t -&gt; evalb( nops(t) = 1 ),\012                        [ ListTools:-Split( t -&gt; type( t[1], undefined ), points ) ] );\012\012        DT:-Do( %Plot0 = plots:-display( [\012                op( plots:-pointplot~( xInts, 'colour' = &quot;DarkGreen&quot;, 'style' = 'line',\012                    'thickness' = 4 ) ),\012                op( plots:-pointplot~( yInts, 'colour' = 'magenta', 'style' = 'line',\012                    'thickness' = 4 ) ),\012                plots:-pointplot( points, 'style' = 'line', 'colour' = 'red',\012                    'thickness' = 2 ),\012                op( plots:-pointplot~( xInts, 'colour' = &quot;DarkGreen&quot;, 'style' = 'point',\012                    'symbol' = 'solidcircle', 'symbolsize' = 20 ) ),\012                op( plots:-pointplot~( yInts, 'colour' = 'magenta', 'style' = 'point',\012                    'symbol' = 'solidcircle', 'symbolsize' = 20 ) ),\012                # singletons\012                `if`( singletons &lt;&gt; [], plots:-pointplot( op~( singletons ), 'style' = 'point',\012                        'colour' = 'red', 'symbol' = 'solidbox', 'symbolsize' = 10 ),\012                        NULL )\012                ],\012                'title' = &quot;Dom\303\255nio e Imagem&quot;,\012                'view' = [-10 .. 10, -10 .. 10]\012                ) );\012    end proc; # DoPlot\012\012\012    GetIntervals := proc( L0, selector )\012        local L, i;\012\012        L := subs( [] = NULL, [ ListTools:-Split( type, L0, undefined ) ] );\012\012        if selector = 0 then\012            return map( t -&gt; [ [t[1], 0], [t[-1], 0] ], L );\012\012        else\012            # intervals can overlap and be out of order on y axis, so sort (both\012            # interval endpoints and intervals themselves) and merge\012            L := sort~( L );\012            L := sort( L, (a,b) -&gt; evalb( a[1] &lt;= b[1] ) );\012\012            i := 1;\012            while i &lt; nops( L ) do\012                if L[i, -1] &gt;= L[i+1, 1] then\012                    L := subs( L[i] = [min( L[i, 1], L[i+1, 1] ), max( L[i, -1], L[i+1, -1] )],\012                            L[i+1] = NULL, L );\012                else\012                    i := i + 1;\012                end if;\012            end do;\012\012            return map( t -&gt; [ [0, t[1]], [0, t[-1]] ], L );\012        end if;\012    end proc; # GetIntervals\012\012end module; #M4_1_3a\012\012\012M4_1_3b:=module()\012    export DoDNS;\012    uses DT = DocumentTools;\012\012    DoDNS:=proc()\012        try\012            DT:-Do( %TextArea1 = Sockets:-Address( convert( %TextArea0, 'string' ) ) );\012\012        catch:\012            DT:-Do( %TextArea1 = &quot;DNS lookup falhou - desculpas&quot; );\012        end try;\012    end proc; #DoDNS\012\012end module; #M4_1_3b\012\012\012M4_1_3a:-Clear();\012\012# Initialize components\012proc()\012    uses DT = DocumentTools;\012    DT:-Do( %Plot1 = plots:-implicitplot( 3*x^2-5*x*y+7*y^2-4*x+2*y = 11, x = -2..3.5, y = -2..2,\012            'tickmarks' = [[-1,0,1,2,3],[-1,1]] ) );\012end proc();"/>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font size="18" bold="true" encoding="UTF-8">Introdu\303\247\303\243o \303\240s Fun\303\247\303\265es:</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font size="18" bold="true" encoding="UTF-8">Dom\303\255nio e Imagem</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Quando voc\303\252 usa uma barra de endere\303\247os do navegador para localizar uma p\303\241gina na web, voc\303\252 pode digitar algo como &quot;http://www.meusitefavorito.com&quot;. O &quot;www.</Font>meusitefavorito<Font encoding="UTF-8">.com&quot; \303\251 chamado por um nome de dom\303\255nio. Alternativamente, voc\303\252 pode usar um endere\303\247o de protocolo Internet (IP), como 10.102.2.2, para encontrar uma p\303\241gina na web. Os navegadores v\303\243o aceitar isso como um endere\303\247o (tente http://10.102.2.2), e no fato dos navegadores na web usarem um Domain Name Service (DNS) para &quot;traduzir&quot; um nome de dom\303\255nio em um endere\303\247o IP. Um nome de dom\303\255nio pode apontar para uma ampla gama de endere\303\247os IP (em torno de </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>).</Text-field>
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<Input><Text-field style="Text" layout="Normal"> </Text-field><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Existem regras sobre o formato dos nomes de dom\303\255nio v\303\241lido, com o resultado que h\303\241 cerca de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JVEkMi41RicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUSgmdGltZXM7RidGL0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSS1JJW1zdXBHRiQ2JS1GLDYlUSMxMEYnRi9GMi1GLDYlUSQzOTZGJ0YvRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUY2Ni5RIn5GJ0YvRjJGOUY7Rj1GP0ZBRkNGRS9GSFEmMC4wZW1GJy9GS0Zmbi8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RidGMg==">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</Equation><Font encoding="UTF-8">nomes v\303\241lidos de dom\303\255nio exclusivo. Os novos web sites est\303\243o sendo criados a cada dia e novos dispositivos (que tamb\303\251m precisam de endere\303\247os IP \303\272nicos) s\303\243o inerentes \303\240 Internet todos os dias haver\303\241 uma escassez de endere\303\247os IP muito antes de haver uma escassez de nomes de dom\303\255nio. Isso est\303\241 previsto para ocorrer em algum momento de 2012.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Talvez os Maias tinham raz\303\243o.</Font></Text-field>
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<Input><Text-field style="Text" layout="Title" alignment="left"><Font encoding="UTF-8">Nesta apresenta\303\247\303\243o, vamos definir os termos de dom\303\255nio, imagem, contradom\303\255nio e dom\303\255nio natural.</Font></Text-field>
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<Input><Text-field style="Text" layout="Title" alignment="left"><Font encoding="UTF-8">Vamos supor que voc\303\252 esteja familiarizado com estes termos adicionais, que s\303\243o definidos em outras apresenta\303\247\303\265es desta cole\303\247\303\243o: <Font italic="true">fun\303\247\303\243o</Font></Font> e <Font encoding="UTF-8" italic="true">gr\303\241fico</Font>.</Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Uma fun\303\247\303\243o matem\303\241tica \303\251 uma regra de associar valores de entrada para valores de sa\303\255da. Os valores de entrada poss\303\255veis para que a fun\303\247\303\243o possa ser aplicada \303\251 uma parte importante da defini\303\247\303\243o da fun\303\247\303\243o, e os valores das sa\303\255das poss\303\255veis para obten\303\247\303\243o de aplicar a fun\303\247\303\243o para valores de entrada v\303\241lidos \303\251 uma caracter\303\255stica importante da fun\303\247\303\243o.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8">Dom\303\255nio de uma fun\303\247\303\243o</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal">O <Font bold="true" encoding="UTF-8">dom\303\255nio</Font><Font encoding="UTF-8"> de uma fun\303\247\303\243o </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYmUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNy9GO1Enbm9ybWFsRidGK0Y3Rj0=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYmUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGNy9GO1Enbm9ybWFsRidGK0Y3Rj0=</Equation><Font encoding="UTF-8"> \303\251 o conjunto de todos da vari\303\241vel (independente) de entrada em que a fun\303\247\303\243o \303\251 definida.</Font></Text-field>
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<Input><Text-field opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" italic="false" executable="false" selection-placeholder="false" size="12" readonly="false" background="[255,255,255]" placeholder="false" family="Times New Roman" spaceabove="0" linebreak="space" rightmargin="0" linespacing="0.0" initial="0" firstindent="0" leftmargin="0" bulletsuffix="" alignment="left" bullet="none" spacebelow="0" pagebreak-before="false"><Font opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" encoding="UTF-8" italic="false" executable="false" selection-placeholder="false" size="12" readonly="false" background="[255,255,255]" placeholder="false" family="Times New Roman">O dom\303\255nio de uma fun\303\247\303\243o pode ser declarada de forma expl\303\255cita ou impl\303\255cita derivada das opera\303\247\303\265es matem\303\241ticas envolvidas na defini\303\247\303\243o da fun\303\247\303\243o. Por exemplo, a regra</Font></Text-field><Text-field opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" italic="false" executable="false" selection-placeholder="false" size="12" readonly="false" background="[255,255,255]" placeholder="false" family="Times New Roman" spaceabove="0" linebreak="space" rightmargin="0" linespacing="0.0" initial="0" firstindent="0" leftmargin="0" bulletsuffix="" alignment="left" bullet="none" spacebelow="0" pagebreak-before="false"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">define uma fun\303\247\303\243o </Font><Equation executable="false" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn</Equation><Font encoding="UTF-8"> com dom\303\255nio explicitamente dado como todos os n\303\272meros positivos. A regra</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"> <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">define uma fun\303\247\303\243o </Font><Equation executable="false" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JlEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2I1EhRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2I1EhRic=</Equation><Font encoding="UTF-8"> com dom\303\255nio implicitamente dado como todos os n\303\272meros diferentes de zero. O maior conjunto no qual uma fun\303\247\303\243o pode ser definida \303\251 muitas vezes chamado de seu <Font bold="true">dom\303\255nio natural.</Font></Font></Text-field>
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<Input><Text-field style="Text" layout="Normal">A <Font bold="true">imagem</Font><Font encoding="UTF-8"> de uma fun\303\247\303\243o </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn</Equation><Font encoding="UTF-8"> \303\251 o conjunto de todos os valores que podem ser obtidos atrav\303\251s da aplica\303\247\303\243o de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRjIvRjZRJ25vcm1hbEYn</Equation> <Font encoding="UTF-8"> para valores em seu dom\303\255nio.</Font></Text-field>
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<Input><Text-field opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" italic="false" executable="false" selection-placeholder="false" size="12" readonly="false" background="[255,255,255]" placeholder="false" family="Times New Roman" spaceabove="0" linebreak="space" rightmargin="0" linespacing="0.0" initial="0" firstindent="0" leftmargin="0" bulletsuffix="" alignment="left" bullet="none" spacebelow="0" pagebreak-before="false"><Font opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" encoding="UTF-8" italic="false" executable="false" selection-placeholder="false" size="10" readonly="false" background="[255,255,255]" placeholder="false" family="Arial">Para a fun\303\247\303\243o definida por</Font><Font opaque="false" subscript="false" underline="false" superscript="false" bold="false" foreground="[0,0,0]" italic="false" executable="false" selection-placeholder="false" size="12" 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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Formalmente, uma fun\303\247\303\243o \303\251 composta de tr\303\252s partes: a regra, o dom\303\255nio e o contradom\303\255nio. O contradom\303\255nio, \303\251 ligeiramente diferente da imagem, em que muitas vezes \303\251 maior, mais facilmente descrito conjunto de valores que cont\303\251m a imagem, possivelmente como um subconjunto pr\303\263prio. Por exemplo, \303\251 comum dar a defini\303\247\303\243o de uma fun\303\247\303\243o real, especificando a regra e dom\303\255nio e deixando a imagem como sendo um subconjunto dos n\303\272meros reais, neste caso o contra-dom\303\255nio s\303\243o todos os n\303\272meros reais.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Tamb\303\251m \303\251 comum para especificar uma fun\303\247\303\243o ao afirmar seu dom\303\255nio, deixando o dom\303\255nio implicitamente definido para ser o maior conjunto de valores em que a regra de &quot;makes sense&quot;, ou seja, seu dom\303\255nio natural. Por exemplo, voc\303\252 pode definir uma fun\303\247\303\243o por </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font size="12"> </Font><Font encoding="UTF-8">O dom\303\255nio (natural) \303\251, ent\303\243o, implicitamente definido como o conjunto de todos os n\303\272meros diferentes de 1. O contradom\303\255nio pode ser considerado como todos os n\303\272meros reais, enquanto a imagem \303\251 um subconjunto de n\303\272meros positivos.</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Desenhar uma fun\303\247\303\243o da esquerda para a direita ou da direita para a esquerda no gr\303\241fico. Enquanto voc\303\252 desenha, o dom\303\255nio e a imagem de sua fun\303\247\303\243o ser\303\243o mostrados nos eixos x e y</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Como os navegadores web t\303\252m que &quot;traduzir&quot; um nome de dom\303\255nio em um endere\303\247o IP, eles devem usar algum tipo de procedimento (ou fun\303\247\303\243o) para fazer isso.</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Essa fun\303\247\303\243o, que chamaremos de DNS, assume um valor x (nome de dom\303\255nio) e DNS retorna (x) (o endere\303\247o IP). Exercendo a fun\303\247\303\243o de DNS em um nome de dom\303\255nio s\303\263 pode retornar um endere\303\247o IP, caso contr\303\241rio, o navegador n\303\243o sabe qual \303\251 para ir, mas mais do que um nome de dom\303\255nio pode apontar para o mesmo endere\303\247o IP, assim como uma fun\303\247\303\243o normal. O dom\303\255nio do DNS \303\251 constitu\303\255do por todos os nomes de dom\303\255nio registrados (nomes de dom\303\255nios n\303\243o registrados n\303\243o retornar\303\243o um valor de DNS, tipo de pontos como de que uma fun\303\247\303\243o \303\251 indefinida) e da gama \303\251 constitu\303\255da por todos os endere\303\247os IP que est\303\243o associados a um </Font>nome de <Font encoding="UTF-8">dom\303\255nio (endere\303\247os IP de outros nunca ser\303\243o devolvidos a partir de DNS).</Font></Text-field><Text-field style="Text" layout="Normal"></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Abaixo est\303\241 um campo de texto. Insira um endere\303\247o da web (</Font>por exemplo www.myfavoritewebsite.com, ) e clique em <Font bold="true">Do DNS</Font><Font encoding="UTF-8">. O valor resultante da fun\303\247\303\243o de DNS \303\251 exibido. Se, a mensagem &quot;DNS lookup falhou - desculpas&quot; aparece, isso significa que o endere\303\247o web n\303\243o est\303\241 (aparentemente) correspondente a qualquer endere\303\247o IP, mas n\303\243o \303\251 no dom\303\255nio dessa fun\303\247\303\243o DNS.</Font></Text-field>
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