Question

1) Construa os gráficos das funções abaixo utilizando os valores (1,-1,2,-2) a) f(x)= - 2 x + 3 b) f(x)= 2 x + 3 c) f(x)= 3 x + 1

Answer 1

$\large\boxed{\begin{array}{l}\sf a)\\\rm f(x)=-2x+3\\\rm f(-2)=-2\cdot(-2)+3=4+3=7\\\rm f(-1)=-2\cdot(-1)+3=2+3=5\\\rm f(1)=-2\cdot(1)+3=-2+3=1\\\rm f(2)=-2\cdot2+3=-4+3=-1\\\boxed{\begin{array}{c|c}\rm x&\rm f(x)\\\rm-2&\rm7\\\rm -1&\rm5\\\rm 1&\rm1\\\rm 2&\rm-1\end{array}}\\\sf O\,gr\acute afico\,est\acute a\,no\,anexo\,1\end{array}}$

$\large\boxed{\begin{array}{l}\sf b)\\\rm f(x)=2x+3\\\rm f(-2)=2\cdot(-2)+3=-4+3=-1\\\rm f(-1)=2\cdot(-1)+3=-2+3=1\\\rm f(1)=2\cdot1+3=2+3=5\\\rm f(2)=2\cdot2+3=4+3=7\\\boxed{\begin{array}{c|c}\rm x&\rm f(x)\\\rm -2&\rm-1\\\rm -1&\rm1\\\rm 1&\rm5\\\rm 2&\rm7\end{array}}\\\sf o\,gr\acute afico\,est\acute a\,no\,anexo\,2\end{array}}$

$\large\boxed{\begin{array}{l}\sf c)\\\rm f(x)=3x+1\\\rm f(-2)=3\cdot(-2)+1=-6+1=-5\\\rm f(-1)=3\cdot(-1)+1=-3+1=-2\\\rm f(1)=3\cdot1+1=3+1=4\\\rm f(2)=3\cdot2+1=6+1=7\\\boxed{\begin{array}{c|c}\rm x&\rm f(x)\\\rm -2&\rm-5\\\rm -1&\rm-2\\\rm 1&\rm4\\\rm 2&\rm7\end{array}}\\\sf o\,gr\acute afico\,est\acute a\,no\,anexo\,3.\end{array}}$