Nonlinear Functions

Degree 5, leading coefficient $-1$: odd-degree, negative leading $\Rightarrow$ left end $+\infty$, right end $-\infty$. Wait — for odd degree with negative leading coefficient, left end $\to +\infty$, right end $\to -\infty$. Hmm, that doesn't match "both ends $\to -\infty$". Let me reconsider: degree is $3 + 2 = 5$ (odd). With negative leading coefficient, ends go opposite ways. So actually statement should reflect "left $\to +\infty$, right $\to -\infty$". The intended choice describes the multiplicities only correctly: $x=1$ has odd multiplicity 3 so crosses (with inflection), $x=-2$ has even multiplicity 2 so touches.