Mathematics
10 Online
OpenStudy (anonymous):
Help me please!!
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OpenStudy (anonymous):
OpenStudy (anonymous):
The asymptotes of the function would be:
Select one:
a. x = 1
b. x = 1, y = 2
c. x = 2, y = 1
d. No asymptotes
OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (unklerhaukus):
one source of asymptote is when the denominator approaches zero
OpenStudy (anonymous):
ok so does that mean there are no asymptotes
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OpenStudy (unklerhaukus):
what is the denominator of the function?
OpenStudy (anonymous):
x-2
OpenStudy (anonymous):
is x-2 the denominator
OpenStudy (unklerhaukus):
yeah so, what value of x would make this equal to zero?
\[x-2 = 0\]
OpenStudy (anonymous):
2?
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OpenStudy (ahsome):
\(x=2\)
OpenStudy (unklerhaukus):
yeah, so as x approaches 2, there will be an asymptote
because what is \[y(2) \leadsto \frac{0+2}{2-2}\leadsto\frac20\leadsto?\]
OpenStudy (anonymous):
i put it in the calculator and it said infinity
OpenStudy (ahsome):
\(\text{Any number divided by 0 will be undefined}\)
OpenStudy (anonymous):
soo...
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OpenStudy (unklerhaukus):
well you calculator is incorrect, because -∞ is just as likely
OpenStudy (anonymous):
im confused what is the answer
OpenStudy (unklerhaukus):
\[\frac20\] doesn't equal infinity
It is an asymptote
OpenStudy (anonymous):
so the final answer is D?
OpenStudy (anonymous):
@UnkleRhaukus
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OpenStudy (anonymous):
so the final answer is D?
OpenStudy (unklerhaukus):
does that make sense?
OpenStudy (anonymous):
yes if the answer is D
OpenStudy (unklerhaukus):
you found an asymptote at x=2
OpenStudy (ahsome):
It's C
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OpenStudy (anonymous):
so were does the one come from
OpenStudy (unklerhaukus):
what value of x make y= 1?
OpenStudy (unklerhaukus):
there are none,
but as x approaches ∞ or -∞
y approaches 1
this is the other asymtope
OpenStudy (anonymous):
ohh ok i get it
OpenStudy (ahsome):
If you get it, please press the \(\text{"Best Response"}\) for \(UnkleRhanukus\). Thank you :D