What can you say about the end of behavior of the function f (x) = - 4x^6+6x^2-52?

Question

Regan Woods

Mathematics

27 October, 00:23

What can you say about the end of behavior of the function f (x) = - 4x^6+6x^2-52?

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Brewster · Answer 1

For end behavior, we need to consider 2 things: the highest exponent, and the coefficient of the highest exponent.

the highest exponent is 6, an even number, which means that the end behaviors will both be ∞ or - ∞.

Since the coefficient is - 4, a negative number, the end behaviors will both be - ∞.

As x→ - ∞, f (x) → - ∞. As x→ ∞, f (x) → - ∞.