The end behavior of the graph is:
f(x) → +∞ as x → -∞ and f(x) → +∞ as x → +∞
What is the End behavior of the Graph?
The end behavior of a function describes the behavior of the graph of the function at the "ends" of the x-axis, as x approaches positive infinity or negative infinity.
Now, looking at the given graph, we see that as x increases beyong 2, y increases infinitely.
Similarly, as x decreases beyond -2, we see that y increases to infinity. Thus:
The end behavior of the graph is:
f(x) → +∞ as x → -∞ and f(x) → +∞ as x → +∞