Warren Ortega
06/17/2023 · Middle School

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. \[ f(x)=\frac{3 x-13}{c} \]

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The domain is all real numbers except where \( c = 0 \). The range is all real numbers except where \( c = 0 \). The x-intercept is at \( \left( \frac{13}{3}, 0 \right) \), and the y-intercept is at \( \left( 0, \frac{-13}{c} \right) \). There are no vertical asymptotes, and the horizontal asymptote is \( y = \frac{3}{c} \).

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