Luna Sandoval
05/06/2023 · Middle School
Question 4 Describe the long run behavior of \( f(x)=x^{9} \) As \( x \rightarrow-\infty, f(x) \rightarrow ? \vee \) As \( x \rightarrow \infty, f(x) \rightarrow ? \vee \) Question Help: \( b \) video Submit Question
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As \( x \rightarrow-\infty, f(x) \rightarrow-\infty \) because as \( x \) becomes more negative, \( x^9 \) becomes a very large negative number.
As \( x \rightarrow \infty, f(x) \rightarrow \infty \) because as \( x \) becomes more positive, \( x^9 \) becomes a very large positive number.
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Long run behavior of \( f(x)=x^{9} \) is that as \( x \rightarrow-\infty, f(x) \rightarrow-\infty \) and as \( x \rightarrow \infty, f(x) \rightarrow \infty \).
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