Chapter 3 - Section 3.4 - Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 331: 25

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

$$f(x)=9x^6-3x^4+x^2-2$$ Since degree of polynomial is even ($6$) and leading coefficient is positive ($9$), then end behavior is: If $x\to \infty$, then $y\to \infty$ If $x\to -\infty$, then $y\to \infty$