Question

urgent help if anyone could quickly explain this?




pic:

Answer 1

we have a piece by piece graph.

Answer 2

All you have to do is input the values and understand the behavior near a particular x value of interest.

Answer 3

the domain restrictions are in the denominator.

Answer 4

if you don't have a problem with a denominator, it's most likely going to be continuous. However you need to follow the rules that it tells you on the right hand side.

Answer 5

no its not...end points are the problem most of the time

Answer 6

If you observe the behavior of the first two functions as either side approaches x = 0 for example, then you will notice something of interest about them.

Answer 7

and how the heck am I going to graph 1/x if x = 0? that's not happening dude.

Answer 8

you can sort of cheat
lets look at 1+x^2 and 2-x
notice that the first is for x<=0 and the second is for x>0 but to check we plug in 0 to both

1+0^2 does not equal 2-0
so we have discontinuity at x = 0

Answer 9

i feel like im getting mixed answers..let me take a take a look. sorry its really late here and im exhausted lol

Answer 10

oh! Discontinuity ok.. it occurs when you have a jump and a donut hole

Answer 11

correct @UsukiDoll