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The rational function has a y-intercept of 7. What is the equation for this function?

Mathematics
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@rebeccaskell94 can you help
I don't think I'd be your best option for getting help, sorry :c

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Other answers:

Its okay thank you
f(0)=7 the function is a hyperbola of form\[f(x)=\frac{a}{x-p}+q\]
Im not really sure what you mean by that @Jonask could you walk me through it
where p and q are vertical and horizontal asymptote
the green line and the blue line are your asymptotes 'lines that the graph can never touch'
so what is their equation
i mean what is the equation of the green and the blue line
x = -2 and y = 5
yes you got it so this values are your p and q so i can write x=p=-2 y=q=5
is that ok
yes what next
so f(x) = a/(x+2) +5
yes you are on the right track now find a by plucking in any point on the graph
a = 4?
yes and then you are done just put a back in the fuction f(x) = a/(x+2) +5
so f(x) = 4/(x+2)+5 thank you!
yw

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