i'm doing test corrections for rational functions and need help filling up the gaps

M

maddy

New member
that i missed? identify all holes and asymptotes of each function:

1. y = x^3 - 3x^2 - 18x / x^2 - 9

2. y = (3x - 2)(x + 5) / (3x - 2)(3x - 2)(x - 7)

3. y = x^2 - 4x - 45 / 3x^2 - 75
 
1. y = x^3 - 3x^2 - 18x / x^2 - 9
y = [x (x^2 - 3x - 18)]/ [(x-3)(x+3)]
y = [x(x+3)(x-6)] / [(x-3)(x+3)]

Hole at x = -3, Asymptote at x = 3

2. y = (3x - 2)(x + 5) / (3x - 2)(3x - 2)(x - 7)

Hole at x = 2/3, Asymptote at x = 7

3. y = x^2 - 4x - 45 / 3x^2 - 75
y = [(x - 9)(x + 5)] / [3 (x^2 - 25)]
y = [(x - 9)(x + 5)] / [3(x+5)(x-5)]

Hole at x = -5, Asymptote at x = -5
 
Back
Top