Question

Find the asymptotes and intercept of the following rational function

Show your work for the intercepts!

Answer 1

VA: x = 1, x = -1

HA: y = 0

x-int: (4, 0)

y-int: (0, 4)

Explanation:

x-int:

0 = (x-4)/((x-1)(x+1))

0 = (x-4) because the (x-1)(x+1) are multiplied by 0

4 = x

x = 4

(4, 0)

y-int:

y = (0 - 4)/((0 - 1)(0 + 1))

y = (-4)/((-1)(1))

y = (-4)/(-1)

y = 4/1 = 4

(0, 4)