Question

Look at interval [0,8] of graph from the following link:
http://www.flickr.com/photos/57417292@N03/6335164067/
1. For what values of x does the function have a local maximum on (0,8)
2. Local minimum
3. absolute maximum. I think it's none.
4. absolute minimum. I think it's 5

Answer 1

Link doesn't work.

Answer 2

Here's the link: http://www.flickr.com/photos/57417292 @N03/6335164067/
Copy and paste it

Answer 3

1. at x=3 and x=8

Answer 4

2. x=2 and x=5

Answer 5

for 3 and 4 you are correct

Answer 6

I tried, but it says at least one of the answers is not correct.

Answer 7

hmm....

Answer 8

perhaps the local maximum is only at x=3 because (0,8) implies 8 is not included in the interval (it would be if it were written [0,8])

do you have a limited number of chances to try?

Answer 9

It's unlimited tries. It's still incorrect.

Answer 10

I'm sure 3 and 4 are correct, and that x=3 is a local maximum, so what tricks are we missing?

Answer 11

This is giving me a headache. They are pulling some trick with the discontinuities and endpoints. I guess I'll have to get back to you. In the meantime just try whatever you can think of since you have unlimited chances, and let me know if you get it.

Answer 12

ok I will try my best.

Answer 13

Thank you for trying :)

Answer 14

Local Max at (3,4). Local min (2,2). Absolute min (5,0) No Absolute Max

Answer 15

oh so our only mistake was calling x=5 a local min. I guess I forgot it can't be both absolute and global. thanks for the refresher:)

Answer 16

still incorrect

Answer 17

oh, I confused you with mertsj because you have the same picture, so I thought you had figured it out. nevermind...

Answer 18

1. For what values of x does the function have a local maximum on (0,8)
This is obviously (3,4). If 8 were in the interval--i.e., the interval were (0,8], I'd say there is one at x = 8 as well, but it's not.

2. Local minimum
(2,2) and (5,0)

3. absolute maximum. I think it's none.
Yes I agree, because the function on the interval never attains a value greater than or equal to

4. absolute minimum. I think it's 5
Yes, because the value y = 0 which is less than or equal to every other value of f(x) on the interval (0,8) is attained at x = 5.

Answer 19

1. x=3
2. x=2, x=5
3. none
4. x=5

Those are the answers I gave as well once I noticed that x=8 was not in the interval (you can read above to see that I eventually realized that) and still you can see the the questioner said this was wrong. I guess either he typed it incorrectly, or the internet site he is working on is faulty. I have found that happening all too frequently.

Answer 20

yes, I didn't try to figure out exactly who had said what to whom, but I feel very confident with my answer. So either his class is using a non-standard definition, or there's something wrong with the software.

Answer 21

I figured out
1. 3
2. 2, 5
3. none
4. 0
I just realized that for number 4, it is asking for the y-value

Answer 22

bah! how lame, we had it all along!