Find the equation and sketch the graph of a rational function that passes through​ (0,0) and (5,20/21)​,has the​ x-axis as a horizontal​ asymptote, and has two vertical asymptotes x=2 and x=−2.   The equation of the function is y=.......

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A: Given,         The graph of a rational function that passes through​ (0,0) and (5,10/9) ​, has the​…

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A: Intercepts:X-intercepts:(3, 0), (-4, 0)(x-3)=0  and (x+4)=0Terms: (x-3)(x+4) in numeratorVertical…

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Q: Find the horizontal asymptote of the rational function. (Let y be the independent variable. If an…

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A: Given:Given function is f(x)=150x+1200.05x+1and number of bass f(x), after x months in a…

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Q: 1. f(x) x + 4 2x² –13x -7 ||

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Q: -2(x+1)(x+4) (x+2)°(x-3) -(x+1)(x+4)² 2(x-2) (x+3) -2(x-1)(x-4) (x-2)° (x+3) A) R(x) =: B) R(x) =:…

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Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

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Q: Find the horizontal asymptote, if any, of the graph of the rational function. 11x h(x) = 5x2 +4…

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Q: 1. For the rational function g(x)= x'+7x+12 r+x-6 (a) Explain why x=2 is a vertical asymptote. (b)…

A: Explanation of the answer is as follows