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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

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Answer

The equation for the rational function

[tex]y=\frac{(x+b)}{(x-2)}[/tex]

y-intercept of -2 means x=0

substitute when y= -2 and x=0

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

The final answer

[tex]y=\frac{x+4}{x-2}[/tex]

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