Question

Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.

f(x) 1/x^2 - 1 on...

Answer 1

a) (negative infinity sign, infinity sign)
b) [-1, 1]
c) (0, 1)

Answer 2

@Mertsj can u help?

Answer 3

What is the highest y value for that function?

Answer 4

10?

Answer 5

you don't think that the function goes on and on forever?

Answer 6

its not stopping so yea i do think that.

Answer 7

So if that is the case, then it doesn't have a maximum y value does it?

Answer 8

no

Answer 9

so from - infinity to + infinity there is no absolute extrema

Answer 10

ok

Answer 11

okay how about [-1,1]

Answer 12

What do you think? is there an absolute high or low point within that interval?

Answer 13

high its going up

Answer 14

so how about (0,1) nothing is on it

Answer 15

In the interval -1 to 1 there is a high point at -1, isn't there?

Answer 16

yes at - 1

Answer 17

So that is the extreme point in that interval. There is not a minimum in that interval.

Answer 18

ok

Answer 19

so i dont have to do (0,1)?

Answer 20

I think you should do the entire problem.

Answer 21

ok

Answer 22

Is there a high point between 0 and 1?

Answer 23

What about a low point?

Answer 24

no there in no high point

Answer 25

i think there is a low point

Answer 26

yea there is a low point

Answer 27

Is there a high point between 0 and 1?