Question

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

Answer 1

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)`