Respuesta :
hello, to solve this question, we need to look the function:
[tex]y\text{ }\ge\text{ }\frac{1}{3}x\text{ +2}[/tex]So, let's see the graphics:
remember: for this question, only values equal to or greater than y are of interest
We can solve by attempts:
when x = 0:
[tex]\begin{gathered} y\text{ }\ge\text{ }\frac{1}{3}\cdot0\text{+2} \\ y\ge2 \end{gathered}[/tex]At this moment, we can discard two options: A and C.
Why? Because when x = 0, just interest for us y>= 2.
when x = 1:
[tex]\begin{gathered} y\text{ }\ge\text{ }\frac{1}{3}\cdot1\text{+2} \\ y\text{ }\ge2.33 \end{gathered}[/tex]when x = 2:
[tex]\begin{gathered} y\text{ }\ge\text{ }\frac{1}{3}\cdot2\text{+2} \\ y\ge2.66 \end{gathered}[/tex]As we have the sign "greater than or equal to", we can conclude that it is a closed representation, so the line must be continuous.
Right answer: B.
