Question

1-) Find: Domain x-int y-int VA HA Hole Sign graph graph a-) y= x2-9/2x+6 b-) y=...

1-) Find:

Domain

x-int

y-int

VA

HA

Hole

Sign graph

graph

a-) y= x2-9/2x+6

b-) y= 3x/x3-x

Homework Answers

Answer #1

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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