Chapter 3 - Section 3.4 - Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 331: 23

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

$$f(x)=-4x^3+3x^2-1$$ Since degree of polynomial is odd ($3$) and leading coefficient is negative ($-4$), then end behavior is: If $x\to \infty$, then $y\to -\infty$ If $x\to -\infty$, then $y\to \infty$ See graph.