Chapter 3 - Section 3.4 - Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 331: 26

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

$$f(x)=10x^6-x^5+2x-2$$ Since degree of polynomial is even ($6$) and leading coefficient is positive ($10$), then end behavior is: If $x\to \infty$, then $y\to \infty$ If $x\to -\infty$, then $y\to \infty$ See graph.