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Write an equation for a rational function whose graph has all of the indicated features.vertical asymptote with equation x =2,horizontal asymptote with equation y =1,x-intercept of -4 and y-intercept of -2

1 Answer

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Answer

The equation for the rational function


y=((x+b))/((x-2))

y-intercept of -2 means x=0

substitute when y= -2 and x=0


\begin{gathered} -2=((0+b))/((0-2)) \\ \\ \\ -2=(b)/(-2) \\ \\ b=4 \end{gathered}

The final answer


y=(x+4)/(x-2)

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