the function p (x), as |x|➡∞ then p (x)➡4. Which of the following graphs could be p (x)?

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.