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Explanation:

Identify asymptotes from the graph

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Determine domain and range

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Identify intercepts from the graph

$$ LATEXBLOCK2 $$

Answer:

Question 1

(a) Write the equations for all vertical and horizontal asymptotes:

  • Vertical asymptote(s): \(x = 1\)
  • Horizontal asymptote(s): \(y = -1\)

Question 2

(b) Find the domain and range of \(f\):

  • Domain: \((-\infty, 1) \cup (1, \infty)\)
  • Range: \((-\infty, -1) \cup (-1, \infty)\)

Question 3

(c) Find all \(x\)-intercepts and \(y\)-intercepts:

  • \(x\)-intercept(s): None
  • \(y\)-intercept(s): \(-2\)