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content area top Part 1 The standard form of the rational function R(x)equalsStartFraction mx plus b Over cx plus d EndFraction , where cnot equals0,
content area top Part 1 The standard form of the rational function R(x)equalsStartFraction mx plus b Over cx plus d EndFraction , where cnot equals0, is R(x)equalsaleft parenthesis StartFraction 1 Over x minus h EndFraction right parenthesis plusk . To write a rational function in standard form requires long division. (a) Write the rational function Upper R left parenthesis x right parenthesis equals StartFraction 2 x plus 5 Over x minus 3 EndFraction in standard form by writing R in the form quotientplusStartFraction remainder Over divisior EndFraction . (b) Graph R using transformations. (c) Determine the vertical asymptote and the horizontal asymptote of R
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