Sketch the Graph of the Rational Function $y = - \frac { 3 } { x - 4 }$

question 22

Multiple Choice

Sketch the graph of the rational function. Specify the intercepts and the asymptotes. $y = - \frac { 3 } { x - 4 }$

• A) no x-intercepts; y-intercept: \(- \frac { 3 } { 4 }\) ; vertical asymptote: x = - 4; horizontal asymptote: y = 0;
• B) no x-intercepts; y-intercept: \(\frac { 4 } { 3 }\) ; vertical asymptote: x = 4; horizontal asymptote: y = 0;
• C) no x-intercepts; y-intercept: \(- \frac { 4 } { 3 }\) ; vertical asymptote: x = 4; horizontal asymptote: y = 0;
• D) no x-intercepts; y-intercept: \(\frac { 3 } { 4 }\) ; vertical asymptote: x = 4; horizontal asymptote: y = 0;
• E) no x-intercepts; y-intercept: \(\frac { 1 } { 4 }\) ; vertical asymptote: x = 4; horizontal asymptote: y = 0;

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