Respuesta :

If those are your only two answer choices, then its the second one. As x gets bigger and bigger, y gets closer to 4. It never actually reaches 4 itself. Think of it like approaching an electric fence. 

Answer:

The correct option is D.

Step-by-step explanation:

It is given that as |x|➡∞ then p (x)➡4.  

It means the function p(x) tends to 4 at x tends to infinity and p(x) tends to 4 as x tends to 4.

[tex]p(x)\rightarrow 4\text{ as }x=\infty[/tex]

[tex]p(x)\rightarrow 4\text{ as }x=-\infty[/tex]

In option D, the function tends to 4 at x tends to infinity and p(x) tends to 4 as x tends to 4.

Therefore correct option is D.