Question1) $y=2 x^{4}+8 x^{3}+4 x^{2}-8 x-6$

Studdy Solution
Analyze the behavior of the polynomial for large values of $x$:
As $x \to \infty$ or $x \to -\infty$, the term $2x^4$ will dominate the behavior of the polynomial because it has the highest degree.
For large $x$, the polynomial behaves approximately like $y \approx 2x^4$.
- As $x \to \infty$, $y \to \infty$. - As $x \to -\infty$, $y \to \infty$ (since $x^4$ is always positive).
The analysis of the polynomial $y = 2x^4 + 8x^3 + 4x^2 - 8x - 6$ is complete.