Question

From the graph of g, state the intervals on which g is continuous. Select all that apply.

http://www.webassign.net/scalc/2-4-4.gif

(-INFINITY, -4]
(-INFINITY, -4)
[-4,-2]
[-4,-2)
[-2,2]
(-2,2)
[2,4]
[2,4)
[4,6]
(4,6)
[6,8]
(6,8)
[8,INFINITY)
(8,INFINITY)

Answer 1

[-4,2)U(-2,2)U[2,4)U(4,6)U(6,8)

Answer 2

U SURE??

Answer 3

yeah..i'm pretty sure we learned this in calc.

Answer 4

you cant include the end points,

Answer 5

in order to be continuous the function has to be defined at the point and have a limit at the point, and the two must equal each other.

Answer 6

x=-4, has not limit from the LHS, it cant be continuous, should be an open bracket

Answer 7

there is no open circle on 4

Answer 8

(-4,-2) , but they dont give that as an option

Answer 9

wat does it mean if there is no corcle at the end of something?

Answer 10

*circle

Answer 11

it means it includes that point

Answer 12

so wud that be open or closed?

Answer 13

but there is nothing to the left of it , there is no LHS limit

Answer 14

there is no way to approach x=-4 from the negative x axis , because its not defined , so strictly speaking it shouldnt be continuous there ( even though the answer doesnt give (-4,-2) as an interval that you can choose

Answer 15

sadas answrs were correct tho

Answer 16

yeh, but what was this ?, a online assignment site? , I am smarter than those computers

Answer 17

hahaha yeah it is

Answer 18

i just dont get waht it means when ther is no circle at the end of a line

Answer 19

eg when x=4

Answer 20

lol wud u know dumbcow?

Answer 21

when x=4, the function tends to infinity, therefore, there is no limit there, and if there is no limit, it cannot be continuous at that point.

Answer 22

but the answer was (4,6).....this implies that at 4 its open?

Answer 23

yes. it is open because it is not strictly defined at that point.

Answer 24

okay so it continues at that point right?

Answer 25

til infinity?

Answer 26

it is only continuous if it has a limit everywhere and if it is defined everywhere.. in the case of x=4, the limit tends to infinity (which means there is no real limit) so therefore, it cannot be continuous.

Answer 27

oh but the q asked for which interval is it continous?

Answer 28

yes, and that was elec's point.

Answer 29

lol im confused

Answer 30

The definition of continuity I was taught at uni was , has right hand side and left hand side limits equal and they must equal the function value

Answer 31

which point are you confused about and?

Answer 32

that if at x=4 is not continous how come the interval of (4,6) is continous

Answer 33

because we are using open brackets on both sides..with open brackets, you are not including the x=4 or the x=6 in your answer.

Answer 34

you need to learn your notation correctly

Answer 35

so basically at the end of 4 is an open bracket then

Answer 36

on the intervals [4,6) or (4,6] or [4,6] the function would be discontinuous

Answer 37

you just have to get use to interval notation

Answer 38

and..yes .. basically.

Answer 39

haha lol.ty sadas.
which uni u go too elecengineer?

Answer 40

unsw

Answer 41

fair enuf. which high school did u go too?

Answer 42

south sydney high school , in maroubra, I live like 10minutes away from the uni

Answer 43

you porbably never heard of the school, its not really famous for anything , just an average school

Answer 44

cool.. i went to hurlstone agricultural high. ever heard of it b4 ?lol