Find the zeros, vertical asymptote, horizontal asymptote, slant asymptote, and graphing points.

\(\frac{2}{x^2 - 4}\)

Question

14-10-2016
Mathematics

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Find the zeros, vertical asymptote, horizontal asymptote, slant asymptote, and graphing points.

\(\frac{2}{x^2 - 4}\)

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apologiabiology apologiabiology · Answer 1 · 2016-10-14T15:53:27-04:00

set numerator to zero
2=0
false
no xints

VA
set denom to zero
(x-2)(x+2)=0
VA's are x=-2 and x=2

HA
p(x)/q(x)
degree of p(x)<q(x)
HA is y=0
does it cross?
0=2/(x^2-4)
0=2
false
it does not cross the HA

no slant assemtotes

a graphing point is when x=0, then y=-1/2

so what you do to graph is
draw lines
x=-2
x=2
y=0

starting from the point (0,-1/2)
draw a u shape down so you almost touch the assymtotes
then go to the left and draw a backward 'L' shape near the assemtotes
go the the right and draw an 'L' near assemtotes

Find the zeros, vertical asymptote, horizontal asymptote, slant asymptote, and graphing points.\(\frac{2}{x^2 - 4}\)

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Related Questions

Find the zeros, vertical asymptote, horizontal asymptote, slant asymptote, and graphing points.

\(\frac{2}{x^2 - 4}\)