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Even Degree & Positive Leading Coefficient
As x goes left, y goes up. As x goes right, y goes up.
Even Degree & Negative Leading Coefficients
As x goes left, y goes down. As x goes right, y goes down.
Odd Degree & Positive Leading Coefficients
As x goes left, y goes down. As x goes right, y goes up
Odd Degree & Negative Leading Coefficient
As x goes left, y goes up. As x goes right, y goes down.
Note 
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