Question

An end behavior model for f(x) = (shown in attachment) is g(x) =​

Answer 1

2x^4

Explanation:

As the magnitude of x gets larger, the absolute value of x gets large

The higher degree terms are going to grow much faster than the lower degree terms, so that is what we need to focus on

The highest degree terms here in the numerator and denominator are 8x^6 and 4x^2, so let's divide the two, and simplify to get our solution;

f(x) = (8x^6) / (4x^2)

= 2x^6 / x^2 = 2x^(6 - 2)

= 2x^4 (solution)