f(x)= sqrt(x-4) as x<=8
(x^3-100)/ x-10 as x>8
1.)I need the domain, horizontal and vertical asymptotes, and holes.
2.)Is there supposed to be two VA's an HA's since there's two functions?
So far I got-
domain: {x| all real numbers except for x cannot equal 10}
VA: x=10
HA= 0
For the first function....the domain will be [4, 8] since, in this case, the number in a square root can never be < 0 and we have a restricted interval
For the second function....the domain is (8,10) U (10, inf)
There will be a vertical asymptote at x = 10 for the second function
For the first function....the domain will be [4, 8] since, in this case, the number in a square root can never be < 0 and we have a restricted interval
For the second function....the domain is (8,10) U (10, inf)
There will be a vertical asymptote at x = 10 for the second function