Question

which of the graphs below have domain \\((-\infty, 1) \cup (1, \infty)\\)?

use the letters below the graphs to answer the following question.

graph(s) has/have domain \\((-\infty, 1) \cup (1, \infty)\\).
(use a comma to separate answers as needed.)

Explanation:

Identify the domain restriction from the interval notation

$$ \text{Domain} = (-\infty, 1) \cup (1, \infty) \implies x eq 1 $$

Locate the vertical asymptote for each graph

$$
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Determine the graphs with the specified domain

$$ \text{Graphs with domain } (-\infty, 1) \cup (1, \infty) \implies \text{A, C} $$

Answer:

Graph(s) <blank>A, C</blank> has/have domain \((-\infty, 1) \cup (1, \infty)\).