Determine the intervals of the domain over which each functi

Determine the intervals of the domain over which each function is continuous. See

Solution

we would see for any breaks in the graph

11. contious over the entire domain ( -inf , inf)

12 contious over the entire domain ( -inf , inf)

13 continous over the domain [3, inf)

14 continous over the domain (-inf , -1]

15 discontinous at x = 3

So, continous over the interval ( -inf , 3) U( 3, inf)

16 discontinous at x = 1

So, continous over the interval ( -inf , 1) U( 1, inf)