anonymous
  • anonymous
can you explain how to find the end behavior asymptote of 1/x^2+1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jdoe0001
  • jdoe0001
the wh0?
jdoe0001
  • jdoe0001
what do you mean?
anonymous
  • anonymous
the worksheet says to find the end B.A. how?

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jdoe0001
  • jdoe0001
B.A?
jdoe0001
  • jdoe0001
ohh the ahemm, heheh
anonymous
  • anonymous
behavior asymptote
jdoe0001
  • jdoe0001
I guess you can always just graph it
anonymous
  • anonymous
so im assuming its y=0?
jdoe0001
  • jdoe0001
well, it has a horizontal asymptote and vertical
jdoe0001
  • jdoe0001
the numerator's degree is less than the denominator's, thus the horizontal will be at y=0, yes
jdoe0001
  • jdoe0001
hmm well.... wait. a sec... x^2+1 has no real zeros, so,I guess no vertical asympotes
anonymous
  • anonymous
ok...ive lost all this info since precal...now im taking cal and im forgetting simple things lol
anonymous
  • anonymous
whats the rule for the exponents being equal
DebbieG
  • DebbieG
If degree of num'r = degree of den'r, then the horizontal asymptote is the line y = p/q where p is the leading coefficient of the num'r, q is the leading coefficient of the den'r.
jdoe0001
  • jdoe0001
\(\bf \cfrac{an^\square}{bd^\square}\implies \textit{horizontal asymptote} = \cfrac{a}{b}\)
DebbieG
  • DebbieG
E.g., in a function like \(y=\dfrac{3x-1}{2x+7}\) the HA is y=3/2. the leading terms "take over" everything else for large values of x, and the x^n cancel out.
anonymous
  • anonymous
ok..thank you
DebbieG
  • DebbieG
You're welcome, and welcome to Open Study! :)
anonymous
  • anonymous
seems like a great site...so bigger exp for numerator means no ha?
jdoe0001
  • jdoe0001
right, if the numerator's degree is bigger, then no HA if it's bigger by "1", then it'd be an "oblique" asymptote
anonymous
  • anonymous
ok...so can you explain how to find vert asymptotes?
jdoe0001
  • jdoe0001
ohh, at the zeros of the denominator
jdoe0001
  • jdoe0001
the zeros of the denominator so long they don't make the numerator zero
anonymous
  • anonymous
ok

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