Question

2.Construa o gráfico das seguintes funções do 1º grau:
a) y=2x+2
b) y=-3x+6
c )y=3x
d)y=-4x

Answer 1

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$\tt{a)}~\sf{f(x)=2x+2}\\\rm{intersecc_{\!\!,}\tilde{a}o~com~o~eixo~x}\\\sf{2x+2=0}\\\sf{2x=-2}\\\sf{x=-\dfrac{2}{2}=-1}\\\rm{intersecc_{\!\!,}\tilde{a}o~com~o~eixo~y}\\\sf{f(0)=2\cdot0+2=2}\\\sf{a~reta~passa~pelos~pontos~A(-1,0)~e~B(0,2)}\\\tt{o~gr\acute{a}fico~est\acute{a}~anexo}$

$\tt{b)}~\sf{f(x)=-3x+6}\\\rm{intersecc_{\!\!,}\tilde{a}o~com~o~eixo~x}\\\sf{-3x+6=0}\\\sf{-3x=-6}\\\sf{x=\dfrac{-6}{-3}}\\\sf{x=2}\\\rm{intersecc_{\!\!,}\tilde{a}o~com~o~eixo~y}\\\sf{f(0)=-3\cdot0+6=6}\\\tt{A~reta~passa~pelos~pontos~A(2,0)~e~B(0,6)}\\\tt{o~gr\acute{a}fico~est\acute{a}~anexo}$

$\tt{c)}~\sf{f(x)=3x}\\\sf{f(0)=3\cdot0=0}\\\sf{f(1)=3\cdot1=3}\\\sf{o~gr\acute{a}fico~passa~pelos~pontos~A(0,0)~e~B(1,3)}\\\tt{o~gr\acute{a}fico~est\acute{a}~anexo}$

$\tt{d)}~\sf{f(x)=-4x}\\\sf{f(0)=-4\cdot0=0}\\\sf{f(-1)=(-4)\cdot(-1)=4}\\\tt{o~gr\acute{a}fico~pelos~pontos~A(0,0)~e~B(-1,4)}\\\tt{o~gr\acute{a}fico~est\acute{a}~anexo}$