Suppose that $f (x) = - x^{3} + 9 x^{2} - 20 x$ .
a. What is the function's leading term?
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b. What is the function's degree?
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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 $x \to \infty, f (x) \to$
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- As $x \to - \infty, f (x) \to$
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Answer

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Answer

Final Answer: The leading term of the function is $- x^{3}$ .

Steps

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 $- x^{3}$ .