Describe the end behavior for the polynomial function described below.
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ANSWER
As x → ∞, f(x) → ∞
As x → -∞, f(x) → -∞
EXPLANATION
The degree of this polynomial is 5, which is odd. Therefore, the ends of the graph will point one up and the other down.
The coefficient is positive - the coefficient is the coefficient of the variable with the highest degree, in this case x⁵ - so the right end (when x → ∞) points up (to ∞) and the left end points down (to -∞).