Mathematics
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OpenStudy (anonymous):
Pre Calc. Can anyone help me?
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OpenStudy (3psilon):
What's the question?
OpenStudy (anonymous):
"Can anyone help me?"
OpenStudy (anonymous):
YES! :D
OpenStudy (anonymous):
OpenStudy (anonymous):
\[f(x) = \frac{ 2 }{ x^2-2x-3 }=\frac{ 2 }{ (x+1)(x-3) }\]
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OpenStudy (anonymous):
okay
OpenStudy (anonymous):
That means the x cannot be -1, 3
so the domain (-infi, -1)U(-1, 3)U(3, infi)
OpenStudy (anonymous):
or x <-1, -1<x<3, x>3
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
for x-intercept:
set f(x)=0, then:
\[0=\frac{ 2 }{ (x+1)(x-3) }\]
since no x exist that satisfy the above equation, there is no x-intercept
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OpenStudy (anonymous):
for y-intercept:
set x = 0, then:
\[f(0) = \frac{ 2 }{ (0+1)(0-3) }=\frac{ -2 }{ 3 }\]
so the y-intercept is at the point (0, -2/3)
OpenStudy (anonymous):
To get the horizontal asymptote:
divide every individual block in the equation by the highest power of x, which is x^2
OpenStudy (anonymous):
no x inct? no range?
OpenStudy (anonymous):
o lol, forgot about range
and there's no x-int as I've explained
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
sorry, I need to a lecture now, but here is the graph for reference. good luck :D
OpenStudy (anonymous):
okay.
OpenStudy (anonymous):
anyone?