Chapter 3 - Section 3.4 - Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 331: 24

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

$$f(x)=4x^7-x^5+x^3-1$$ Since degree of polynomial is odd ($7$) and leading coefficient is positive ($4$), then end behavior is: If $x\to \infty$, then $y\to \infty$ If $x\to -\infty$, then $y\to -\infty$ See graph.