Chapter 3 - Section 3.4 - Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 331: 21

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

$$f(x)=5x^5+2x^3-3x+4$$ Since the degree of the polynomial is odd ($5$) and the leading coefficient is positive ($5$), then the end behavior is: If $x\to \infty$, then $y\to \infty$ If $x\to -\infty$, then $y\to -\infty$ See graph.