Chapter 3 - Section 3.4 - Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 331: 28

If $x\to \infty$, then $y\to -\infty$ If $x\to -\infty$, then $y\to -\infty$

$$f(x)=7+2x-5x^2-10x^{4}$$ Reorder: $$f(x)=-10x^{4}-5x^2+2x+7$$ Since degree of polynomial is even ($4$) and leading coefficient is negative ($-10$), then end behavior is: If $x\to \infty$, then $y\to -\infty$ If $x\to -\infty$, then $y\to -\infty$