I really really need some help tonight. PLEASE. I am to plot the points between and beyond the x-intercept and the vertical asymptotes and then type the y-coordinate for each of the following points.
The formula is
f(x)= x+2/x^2+x-6
The following numbers are the points given in a graph beside x in cells:
-5 -1, 0, 1,5
Can anyone help or give me a link to a calculator that will accomplish this? None of the ones I have tried can.
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OpenStudy (anonymous):
seems as if everyone has fallen asleep
OpenStudy (anonymous):
yeap
it's really easy
OpenStudy (anonymous):
How so? :-D
OpenStudy (anonymous):
y=u/v-->y'=(u'v-v'u)/v2
OpenStudy (anonymous):
then for figure out the critical points solve the equation of y'=0
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OpenStudy (anonymous):
it can show the y'=0 is going to be u/v=u'/v'
OpenStudy (anonymous):
or
x+2/x2+x-6=1/2x+1
then
2x2+5x+2=x2+x-6
or
x2+4x+8=0
there is no any real answer
OpenStudy (anonymous):
the curve has two vertical saymptotic
x=-3 and x=2
OpenStudy (anonymous):
And also it has one horizentally asymptotic
y=0
OpenStudy (anonymous):
Do you know why?
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OpenStudy (anonymous):
Not really.
OpenStudy (anonymous):
because on x=-3 and x=2 y is going to infinite
OpenStudy (anonymous):
and if x approach to infinite y is going to zero
OpenStudy (anonymous):
but domain id bounded between[-5 5]
OpenStudy (anonymous):
you can draw a table and plot the curve
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OpenStudy (anonymous):
Still not getting it but thank you for explaining. :-)