Question

the graph of f shown below has vertical asymptotes at \\(x = -3\\) and \\(x = 5\\). analyze the following limits.

a. \\(\lim_{x \to -3^-} f(x)\\)
b. \\(\lim_{x \to -3^+} f(x)\\)
c. \\(\lim_{x \to -3} f(x)\\)
d. \\(\lim_{x \to 5^-} f(x)\\)
e. \\(\lim_{x \to 5^+} f(x)\\)
f. \\(\lim_{x \to 5} f(x)\\)

a. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. \\(\lim_{x \to -3^-} f(x) = \square\\)
b. the limit does not exist and is neither \\(\infty\\) nor \\(-\infty\\)

Explanation:

Analyze the behavior of the function as \(x \to -3^-\)

$$
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$$

Evaluate the multiple-choice options for part a

$$
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$$

Answer:

• A. \(\lim_{x \to -3^-} f(x) = \infty\) (Correct answer)
• B. The limit does not exist and is neither \(\infty\) nor \(-\infty\)