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pickupchik [31]
2 years ago
15

Select the correct answer.

Mathematics
1 answer:
pav-90 [236]2 years ago
6 0

Answer:

D. The function approaches 1 as x approaches -\infty and \infty

Step-by-step explanation:

When evaluating end behavior, take the limit as the function goes to negative and positive infinity.

When evaluating limits to infinity, terms less than the highest degree are irrelevant:

\displaystyle \lim_{x\rightarrow \infty}\frac{x^2-4}{x^2-9}=\frac{\infty^2}{\infty^2}=1\\\\\lim_{x\rightarrow -\infty}\frac{x^2-4}{x^2-9}=\frac{(-\infty)^2}{(-\infty)^2}=1

Therefore, the function approaches 1 as x approaches -\infty and \infty

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