Math  /  Algebra

QuestionUse the graph shown to find the following. (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any

Studdy Solution
An oblique asymptote occurs when the function approaches a line that is neither horizontal nor vertical as x x goes to infinity or negative infinity. The graph does not have an oblique asymptote.
Oblique Asymptote: None \text{Oblique Asymptote: None}
The solutions are:
(a) Domain: (,2)(2,) (-\infty, 2) \cup (2, \infty) , Range: (,4)(4,) (-\infty, -4) \cup (-4, \infty)
(b) Intercepts: (0,0) (0, 0)
(c) Horizontal Asymptote: y=4 y = -4
(d) Vertical Asymptote: x=2 x = 2
(e) Oblique Asymptote: None

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