Question

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

Answer 1

As x → -∞, y → ∞, and as x →∞, y → ∞.

Explanation:

Because both given powers of x are even, the graph begins in Quadrant II as we move to the right and continues into Quadrant I.

All we care about is the end behavior. As x → -∞, y → ∞, and as x →∞, y → ∞.

Answer 2

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 -∞.

Hope This Helps! Have A Nice Day!!