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 positive infinity. As x approaches positive infinity, f(x) approaches negative infinity. f(x)→+∞ as x→-∞andf(x)→-∞ as x→+∞
End Behavior | Type of Function |
---|---|
Same Direction | Even-degree function |
Opposite Directions | Odd-degree function |