Stewart Knight
08/06/2023 · Senior High School
Question Plot all of the existing five features of the following rational function (some may not be needed). If you get a fraction or decimal then plot as close to the true location as possible. \[ f(x)=\frac{-3 x^{2}-6 x}{2 x^{2}-8} \]
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The domain is \( x \in \mathbb{R}, x \neq -2, 2 \). The x-intercepts are at \( (0, 0) \) and \( (-2, 0) \), and the y-intercept is at \( (0, 0) \). The vertical asymptotes are at \( x = -2 \) and \( x = 2 \), and the horizontal asymptote is \( y = -\frac{3}{2} \).
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