fortytwo
The rational function has a yintercept of 7. What is the equation for this function?



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fortytwo
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fortytwo
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@rebeccaskell94 can you help

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

fortytwo
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Its okay thank you

Jonask
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f(0)=7
the function is a hyperbola of form\[f(x)=\frac{a}{xp}+q\]

fortytwo
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Im not really sure what you mean by that @Jonask could you walk me through it

Jonask
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where p and q are vertical and horizontal asymptote

Jonask
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the green line and the blue line are your asymptotes 'lines that the graph can never touch'

Jonask
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so what is their equation

Jonask
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i mean what is the equation of the green and the blue line

fortytwo
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x = 2 and y = 5

Jonask
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yes you got it so this values are your p and q so i can write
x=p=2 y=q=5

Jonask
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is that ok

fortytwo
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yes what next

fortytwo
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so f(x) = a/(x+2) +5

Jonask
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yes you are on the right track now find a by plucking in any point on the graph

fortytwo
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a = 4?

Jonask
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yes and then you are done just put a back in the fuction
f(x) = a/(x+2) +5

fortytwo
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so f(x) = 4/(x+2)+5
thank you!

Jonask
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yw