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The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).
<h3>What is a conic section?</h3>It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).
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The complete question is in the picture, please refer to the attached picture.
From the graph:
a) The domain: all values of x
The range: all values of y
Except: Values at asymptotes are excluded.
Domain = (-∞, -2) U (-2, 2) U (2, ∞)
Range = (-∞, -2) U [-1, ∞)
b)
x-intercept = (-1.5, 0), (1.5, 0)
y-intercept = (0, -1)
c) Horiznotal asymptotes: y = -2
d)Vetical asymptotes: x = -2, x = 2
e) Oblique asymptotes: There is no oblique asymptotes
Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).
Learn more about the conic section here:
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