Identify the center and intercepts of the conic section. Then find the domain and range.
graphOne branch of the hyperbola is above the x-axis and the other is below. Each branch is symmetric about the y-axis. The branch on the top appears to pass through the points left-parenthesis negative 2 comma 6 right-parenthesis, left-parenthesis negative 0 comma 5 right-parenthesis, and left-parenthesis 2 comma 6 right-parenthesis. The branch on the bottom appears to pass through the points left-parenthesis negative 2 comma negative 6 right-parenthesis, left-parenthesis 0 comma negative 5 right-parenthesis, and left-parenthesis 2 comma negative 6 right-parenthesis.
(1 point)
Responses
The center of the hyperbola is (0, 0).
The y-intercepts are (0, 5) and (0, –5).
The domain is all real numbers.
The range is {y | y ≥ –5 or y ≤ 5}.
The center of the hyperbola is (0, 0). The y -intercepts are (0, 5) and (0, –5). The domain is all real numbers. The range is { y | y ≥ –5 or y ≤ 5}.
The center of the hyperbola is (0, 0).
The x-intercepts are (0, 5) and (0, –5).
The domain is all real numbers.
The range is {y | y ≤ –5 or y ≥ 5}.
The center of the hyperbola is (0, 0). The x -intercepts are (0, 5) and (0, –5). The domain is all real numbers. The range is { y | y ≤ –5 or y ≥ 5}.
The center of the hyperbola is (0, 0).
The y-intercepts are (0, 5) and (0, –5).
The domain is all real numbers.
The range is {y | y ≤ –5 or y ≥ 5}.
The center of the hyperbola is (0, 0). The y -intercepts are (0, 5) and (0, –5). The domain is all real numbers. The range is { y | y ≤ –5 or y ≥ 5}.
The center of the hyperbola is (0, 0).
The x-intercepts are (0, 5) and (0, –5).
The domain is all real numbers.
The range is {x | x ≤ –5 or x ≥ 5}.
The center of the hyperbola is (0, 0).
The y-intercepts are (0, 5) and (0, –5).
The x-intercepts are (-2, 0) and (2, 0).
The domain is all real numbers.
The range is {y | y ≤ –5 or y ≥ 5}.