Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (anonymous):

limits and graph need help graph attached

OpenStudy (anonymous):

hope you guys can see the graph

OpenStudy (anonymous):

hello a = -1?

OpenStudy (anonymous):

b = 2?

OpenStudy (anonymous):

c = 2?

OpenStudy (watchmath):

b=-1

OpenStudy (anonymous):

hmm why?

OpenStudy (watchmath):

when you tracing your graph as your x moves approaching -3 from the right, the y-value of your graph is getting closer and closer to which number?

OpenStudy (anonymous):

the full dot on top is confusing me

OpenStudy (anonymous):

otherwise i would write -1

OpenStudy (watchmath):

yes, the value of the limit doesn't depends whether if you have a hole or of full circle.

OpenStudy (anonymous):

are c and d = 2? then

OpenStudy (watchmath):

since the limit from the left and right to -3 is -1. Then we say the limit as x approaches -3 is -2. If the limit from the left doesn't agree with the limit from the right then the limit (without left or right) does not exist.

OpenStudy (watchmath):

The full cirlce only concern about the value of the function it self. So in this case you were right, f(-3)=2.

OpenStudy (anonymous):

but c = DNE

OpenStudy (anonymous):

or do they agree?

OpenStudy (watchmath):

No, c) is -1 because a) and b) agree and equal to -1.

OpenStudy (anonymous):

cool

OpenStudy (anonymous):

e = -inf or DNE

OpenStudy (anonymous):

f = +inf pr dne

OpenStudy (anonymous):

g = DNE

OpenStudy (anonymous):

h = Dne?

OpenStudy (watchmath):

That's right. If you are allow to choose -inf and +inf that is the better answer for e and f.

OpenStudy (watchmath):

g is correct

OpenStudy (anonymous):

what about f?

OpenStudy (watchmath):

h is correct too.

OpenStudy (anonymous):

i meant h

OpenStudy (watchmath):

if you can choose +inf choose +inf

OpenStudy (anonymous):

apologize

OpenStudy (anonymous):

i = 1

OpenStudy (anonymous):

j = 1

OpenStudy (anonymous):

k = 1

OpenStudy (anonymous):

L = DNE?

OpenStudy (watchmath):

great for i) j) k) l)

OpenStudy (anonymous):

ah ur back

OpenStudy (anonymous):

m - p = 5

OpenStudy (watchmath):

good!

OpenStudy (anonymous):

q= - inf or dne, r = -inf or dne s = DNE, t = DNE

OpenStudy (watchmath):

s=-inf too

OpenStudy (anonymous):

right as u said earlier

OpenStudy (anonymous):

hold on posting another but different

OpenStudy (watchmath):

Do it as a new post

OpenStudy (anonymous):

sure

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!