1-) Find:
Domain
x-int
y-int
VA
HA
Hole
Sign graph
graph
a-) y= x2-9/2x+6
b-) y= 3x/x3-x
a) y = ( x^2 - 9 ) / ( 2x + 6 )
domain is (-infinity , -3 )U ( -3 , infinity )
x intercept is ( 3, 0 )
y intercept is ( 0 , -3/2 )
vertical asymptote is none
horizontal asymptote none
hole ix x = - 3
graph shown below
b) y = 3x / ( x^3 - x)
domain is ( -infinity , -1 ) U ( -1 , 0 ) U ( 0 , 1 ) U ( 1, infinity )
x intercept = none
y intercept = none
vertical asymptote = x = -1 , x = 1
horizontal asymptote y = 0
hole x = 0
graph shoen below
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