Question

An end behavior model for f(x) = 8x^6 - 16x^5 + 8 / 4x^2 - 4x - 24 is g(x) =

A) 2x^2
B) 2x^3
C) 2x^4
D) 2x^6

Answer 1

To determine the end behavior of the function, we need to look at the highest power of x in the numerator and denominator. The end behavior model for f(x) is g(x) = 2x^6.

Step-by-step explanation:

To determine the end behavior of the function, we need to look at the highest power of x in the numerator and denominator. In this case, the highest power of x in the numerator is 6 and the highest power of x in the denominator is 2.

Since the degree of the numerator is greater than the degree of the denominator, the end behavior of the function will be determined by the numerator. As the powers of x increase, the function will approach positive or negative infinity depending on the sign of the leading coefficient, which is 8 in this case.

Therefore, the end behavior model for f(x) is g(x) = D) 2x^6.