Crawford Matthews
04/03/2024 · High School
Determine each feature of the graph of the given function. \[ f(x)=\frac{2(x+3)^{3}(2 x-6)}{-5(x-2)^{3}(2 x+1)^{2}} \] Answer Attempt 1 out of 2 \# of Horizontal Asymptotes: None \( \checkmark \) \# of Holes: None \( \sim \) \# of Vertical Asymptotes: None \( \checkmark \) \# of x-intercepts: None \( \checkmark \) \# of y-intercepts: None \( \checkmark \)
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Horizontal Asymptotes: 1 (y = 0)
Holes: 0
Vertical Asymptotes: 2 (at \(x = 2\) and \(x = -\frac{1}{2}\))
x-intercepts: 2 (at \(x = -3\) and \(x = 3\))
y-intercepts: 1 (at \(y = -\frac{81}{10}\))
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