Question

Describe the end behavior of the graphed function

Answer 1

You have to consider the “ends” of the x-axis, the far right (for infinitely large values of x) and left (for infinitely small values of x) of the graph.

From the diagram above you can see that:

1. When $x\rightarrow -\infty,$ then $y=f(x)\rightarrow 1$ (notice that as the values of x get smaller and smaller, the graph gets closer and closer to the line y=1);
2. When $x\rightarrow \infty,$ then $y=f(x)\rightarrow 1.$ (notice that as the values of x get larger and larger, the graph gets closer and closer to the line y=1).

Answer: correct choice is D.