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Sketching Polynomial Functions

Sketching Polynomial Functions 1.7 - Solution

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a

End behavior is the behavior of the graph of as approaches positive or negative infinity. Let's consider the given graph.

We can see above that as approaches negative infinity, approaches positive infinity. As approaches positive infinity, approaches negative infinity.

b
From Part A, we know that the end behavior goes in opposite directions on either end. Therefore, the given graph represents an odd-degree function.
End Behavior Type of Function
Same Direction Even-degree function
Opposite Directions Odd-degree function