Question

Find

Domain

x-int

y-int

VA

HA

Hole

Sign graph

graph

a-) y=1/x²+3x-10

b-) y=x+2/(x+2)(x-3)

c-) y=x-1/x²-2x+1

d-) y=-2/x

Answer 1

a) y = 1 / (x^2 + 3x - 10 )

y = 1 / ( x + 5 ) ( x- 2 )

domain is ( -infinity , -5 ) U ( -5 , 2 ) U ( 2 , infinity )

x intercept is none

y intercept is (0, -1/10 )

vertical asymtote is x = -5 , x = 2

horizontal asymptote is y = 0

hole = none

graph shown below

b) y = ( x+2) / (x+2) (x-3)

domain is ( - infinity , -2 ) U ( -2 , 3 ) U ( 3 , infinity )

x intercept = none

y intyercepts (0, -1/3)

vertical asymptotes = x = 3

horizontal asymptote y = 0

hole (-2,0)

graph shown below