Problem
Suppose that $f(x)=-x^{3}+9 x^{2}-20 x$. a. What is the function's leading term? Preview b. What is the function's degree? Preview c. What is the function's end behavior? (That is, does $f(x)$ increase or decrease without bound as $x$ increases or decreases without bound?) ค As $x \rightarrow \infty, f(x) \rightarrow$ Preview - As $x \rightarrow-\infty, f(x) \rightarrow$ Preview
Solution
Step 1 ：The leading term of a polynomial is the term with the highest degree.
Step 2 ：In this case, the leading term is \(-x^{3}\).
Step 3 ：Final Answer: The leading term of the function is \(\boxed{-x^{3}}\).
