Sherman Norton
01/06/2024 · High School
List the domain and the \( x \) - and \( y \)-intercepts of the following function. Graph the function. Be sure to label all the asymptotes. \( f(x)=\frac{x^{2}}{x^{2}-3 x-4} \)
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The domain of \( f(x) \) is all real numbers except \( x = 4 \) and \( x = -1 \). The \( x \)- and \( y \)-intercepts are both at \( (0, 0) \). The graph has vertical asymptotes at \( x = -1 \) and \( x = 4 \) and a horizontal asymptote at \( y = 1 \).
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