Question

ayúdenme por favor

Grafica la siguiente función F(x): y= 2x +3 x= {-2,-1, 0, 1,2}​

Answer 1

Para poder graficar la función reemplazaremos los valores de x

     $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = -2}}\\\\\sf{y=2x+3}\\\\\sf{y=2(-2)+3}\\\\\boxed{\sf{y=-1}}\end{array}$           $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = -1}}\\\\\sf{y=2x+3}\\\\\sf{y=2(-1)+3}\\\\\boxed{\sf{y=1}}\end{array}$              $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = 0}}\\\\\sf{y=2x+3}\\\\\sf{y=2(0)+3}\\\\\boxed{\sf{y=3}}\end{array}$

                         $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = 1}}\\\\\sf{y=2x+3}\\\\\sf{y=2(1)+3}\\\\\boxed{\sf{y=5}}\end{array}$             $\begin{array}{c}\sf{\boldsymbol{\bigcirc\kern-8pt\triangleright}\:\:Cuando\ \blue{x = 2}}\\\\\sf{y=2x+3}\\\\\sf{y=2(2)+3}\\\\\boxed{\sf{y=7}}\end{array}$

Ordenamos los valores en una tabla

                                                      $\begin{array}{c|c}\blue{\sf{x}}&\blue{\sf{y}}\\^{\rule{65 pt}{0.4pt}\hspace{-40pt}}\\\sf{-2}&\sf{-1}\\\sf{-1}&\sf{1}\\\sf{0}&\sf{3}\\\sf{1}&\sf{5}\\\sf{2}&\sf{7}\\\end{array}$

Procedemos a graficar nuestros resultados en un plano cartesiano(ver imagen).

                                            $\boxed{\sf{{R}}\quad\raisebox{10pt}{ \sf{\red{O}} }\!\!\!\!\raisebox{-10pt}{ \sf{\red{O}} }\quad\raisebox{15pt}{ \sf{{G}} }\!\!\!\!\raisebox{-15pt}{ \sf{{G}} }\quad\raisebox{15pt}{ \sf{\red{H}} }\!\!\!\!\raisebox{-15pt}{ \sf{\red{H}} }\quad\raisebox{10pt}{ \sf{{E}} }\!\!\!\!\raisebox{-10pt}{ \sf{{E}} }\quad\sf{\red{R}}}\hspace{-64.5pt}\rule{10pt}{.2ex}\:\rule{3pt}{1ex}\rule{3pt}{1.5ex}\rule{3pt}{2ex}\rule{3pt}{1.5ex}\rule{3pt}{1ex}\:\rule{10pt}{.2ex}$