Question

Dado o gráfico, qual a função que gerou este gráfico?

Answer 1

$\large\boxed{\begin{array}{l}\sf Dados~os~pontos~A(x_A,y_A)~e~B(x_B,y_B)\\\sf o~coeficiente~angular~m~\acute e~dado~por\\\sf m=\dfrac{y_B-y_A}{x_B-x_A}\\\sf Dado~um~ponto~P(x_0,y_0)~e~o~coeficiente~angular~m\\\sf a~equac_{\!\!,}\tilde ao~da~reta~na~forma\\\sf ponto-coeficiente~angular~\acute e\\\sf y=y_0+m(x-x_0).\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\rm soluc_{\!\!,}\tilde ao:}\\\sf A~reta~passa~pelos~pontos~A(0,5~,~\,0)~e~B(1,50).\\\underline{\rm c\acute alculo~do~coeficiente~angular:}\\\sf m=\dfrac{50-0}{1-0,5}=\dfrac{50}{0,5}=100\\\sf Adotando~o~ponto~A(0,5~~,0)~temos:\\\sf y=0+100(x-0,5)\\\sf y=100x-50\longrightarrow func_{\!\!,}\tilde ao~que~gerou~o~gr\acute afico.\end{array}}$