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forty-two

  • 2 years ago

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

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  1. forty-two
    • 2 years ago
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  2. forty-two
    • 2 years ago
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    @rebeccaskell94 can you help

  3. rebeccaskell94
    • 2 years ago
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    I don't think I'd be your best option for getting help, sorry :c

  4. forty-two
    • 2 years ago
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    Its okay thank you

  5. Jonask
    • 2 years ago
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    f(0)=7 the function is a hyperbola of form\[f(x)=\frac{a}{x-p}+q\]

  6. forty-two
    • 2 years ago
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    Im not really sure what you mean by that @Jonask could you walk me through it

  7. Jonask
    • 2 years ago
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    where p and q are vertical and horizontal asymptote

  8. Jonask
    • 2 years ago
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    the green line and the blue line are your asymptotes 'lines that the graph can never touch'

  9. Jonask
    • 2 years ago
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    so what is their equation

  10. Jonask
    • 2 years ago
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    i mean what is the equation of the green and the blue line

  11. forty-two
    • 2 years ago
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    x = -2 and y = 5

  12. Jonask
    • 2 years ago
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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

  13. Jonask
    • 2 years ago
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    is that ok

  14. forty-two
    • 2 years ago
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    yes what next

  15. forty-two
    • 2 years ago
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    so f(x) = a/(x+2) +5

  16. Jonask
    • 2 years ago
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    yes you are on the right track now find a by plucking in any point on the graph

  17. forty-two
    • 2 years ago
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    a = 4?

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

  19. forty-two
    • 2 years ago
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    so f(x) = 4/(x+2)+5 thank you!

  20. Jonask
    • 2 years ago
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    yw

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