Question

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

Answer 1

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 2

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.

`p(x)\rightarrow 4\text{ as }x=\infty`

`p(x)\rightarrow 4\text{ as }x=-\infty`

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.