Question 815041: I require help with finding the correct End-Behavior diagram for p(x)
P(x)= 4x^4 + 5x^3 - 3x^2 + 4x - 2
Answer by jsmallt9(3758)   (Show Source):
You can put this solution on YOUR website! When a polynomial is in standard form (from highest exponent to lowest), like yours, the coefficient and the exponent of the first term determines the end behavior:- Even exponent: Both ends go in the same direction. (Both up or both down).
- Odd exponent: The two ends go in opposite directions, one up and one down.
- Positive coefficient: The right end goes up.
- Negative coefficient: The right end goes down.
Your polynomial's first term has an even exponent so both ends go in the same direction. Your polynomial's first term has a positive coefficient so the right end goes up (and, since both ends go in the same direction, the left end goes up, too).
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