For the function $-x^{4}+x^{3}-6 x^{2}$ when $x \rightarrow \infty, y \rightarrow \infty$ (Input + or - for the answer). when $x \rightarrow-\infty, y \rightarrow \square \infty$ (Input + or - for the answer)

Step 1 ：The function given is \(-x^{4}+x^{3}-6 x^{2}\).

Step 2 ：We are asked to find the behavior of the function as \(x\) approaches positive and negative infinity.

Step 3 ：The highest degree term in the function is \(-x^{4}\).

Step 4 ：As \(x\) approaches positive or negative infinity, the value of \(-x^{4}\) will dominate the value of the function.

Step 5 ：When \(x\) approaches positive infinity, \(-x^{4}\) will approach negative infinity.

Step 6 ：When \(x\) approaches negative infinity, \(-x^{4}\) will also approach negative infinity, because the negative sign in front of \(x^{4}\) will flip the sign of the result.

Step 7 ：So, the final answer is: When \(x \rightarrow \infty, y \rightarrow -\infty\). When \(x \rightarrow-\infty, y \rightarrow -\infty\).