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anonymous

  • one year ago

What are the asymptotes of the graph of y=1/x+3-4? I know one asymptote is -3, but is the other one -4 or 4?

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  1. misty1212
    • one year ago
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    HI!!

  2. misty1212
    • one year ago
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    is it \[y=\frac{1}{x+3}-4\]?

  3. anonymous
    • one year ago
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    Yes! @misty1212

  4. misty1212
    • one year ago
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    ok then you got the "vertical asymptote" right

  5. anonymous
    • one year ago
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    I know one asymptote is x= -3, but I can't decide if the next one y= -4 or just 4. @misty1212

  6. misty1212
    • one year ago
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    it would be \(x=-3\) like you said you can see the horizontal asymptote with your eyes

  7. misty1212
    • one year ago
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    it is \(y=-4\) the minus sign does not go away

  8. anonymous
    • one year ago
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    Ok! Thank you so much! @misty1212

  9. misty1212
    • one year ago
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    as \(x\to \infty\) you have \[y=\overbrace{\frac{1}{x+3}}^{\text{ this stuff goes away}}-4\]

  10. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\]

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