Question

Which of the following is the graph of y 2x+2?

Answer 1

hello, to solve this question, we need to look the function:

`y\text{ }\ge\text{ }(1)/(3)x\text{ +2}`

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:

`\begin{gathered} y\text{ }\ge\text{ }(1)/(3)\cdot0\text{+2} \\ y\ge2 \end{gathered}`

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:

`\begin{gathered} y\text{ }\ge\text{ }(1)/(3)\cdot1\text{+2} \\ y\text{ }\ge2.33 \end{gathered}`

when x = 2:

`\begin{gathered} y\text{ }\ge\text{ }(1)/(3)\cdot2\text{+2} \\ y\ge2.66 \end{gathered}`

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.