AdianaI502135 AdianaI502135
  • 03-11-2022
  • Mathematics
contestada

Describe the end behavior for the polynomial function described below.

Describe the end behavior for the polynomial function described below class=

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MalayjaG470180 MalayjaG470180
  • 03-11-2022

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 -∞).

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