End behavior is the behavior of the graph of $f(x)$ as $x$ approaches positive or negative infinity. Let's consider the given graph.
We can see above that as $x$ approaches negative infinity, $f(x)$ approaches negative infinity. As $x$ approaches positive infinity, $f(x)$ approaches negative infinity. $Asx→-∞,f(x)→-∞andAsx→+∞,f(x)→-∞ $
End Behavior | Type of Function |
---|---|
Same Direction | Even-degree function |
Opposite Directions | Odd-degree function |