Explanation
To find the end behaviour of the function, we take the limit:
[tex]\lim_{x\to\pm\infty}f(x)=\lim_{x\to\pm\infty}(4x^4-3x^2+2)=4\lim_{x\to\pm\infty}x^4=4\cdot\infty=\infty.[/tex]
Where we considered the dominant part of the polynomial to compute the limit.
Answer
D. As x → ∞, f(x) → ∞, as x → -∞, f(x) → ∞
