4. Here's the first.....the asymptotes are also shown
https://www.desmos.com/calculator/krknmtrhap
6.
x - 8
__________ factor the denominator
x^2 + 5x - 6
x - 8
__________
(x + 6) ( x - 1)
The two values that make the denominator = 0 are x = -6 and x = 1
So.....these are the points of discontinuity (last answer )