For a function p(x) , as |x| → ∞ then p(x) → 2. Which of the following graphs could be p(x)?

Question

anonymous · Answer

attachment

ganeshie8 · Answer

as $|x|\to\infty$ 

means  $x\to \infty$,   $x\to -\infty$

ganeshie8 · Answer

so we're given that the graph approaches $2$ as you go left and right extremes on x axis

anonymous · Answer

I wasn't sure what the arrow meant. I searched but got conflicting answers. Most said that it was interchangeable with the equals sign though. Is this correct?

ganeshie8 · Answer

good question,

$\to$ is read as "tends to" or "approaches"

anonymous · Answer

Okay, I think I got it, @ganeshie8.

If I am right, the answer should be graph D, correct?

Or am I way off?

ganeshie8 · Answer

Is the function approaching "2" as you walk right or left extremes on x axis ?

|dw:1435298726902:dw|