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Describe the end behavior for the polynomial function described below.

Describe the end behavior for the polynomial function described below.-example-1
User Petke
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1 Answer

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ANSWER

As x → ∞, f(x) → ∞

As x → -∞, f(x) → -∞

Step-by-step 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 -∞).

User Clawoo
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