Determine if EVT applies (Calculus I)

[Blablablabla]

Homework Statement

Determine if the EVT (Extreme Value Theorem) applies to the following.

on the interval [2, 8]

The Attempt at a Solution

For the Extreme Value Theorem to apply, the function must be on an interval, and the function must be continious.

I believe the domain for this function is {x | x ≠ -4}

But since -4 is not in the interval, the EVT should apply.

 

[Ray Vickson]

Homework Statement

Determine if the EVT applies to the following.

http://www4a.wolframalpha.com/Calculate/MSP/MSP8951a40h06a29428ad200001gbeeg8268c71ecc?MSPStoreType=image/gif&s=59&w=100&h=39

on the interval [2, 8]

The Attempt at a Solution

For the EVT to apply, the function must be on an interval, and the function must be continious.

I believe the domain for this function is {x | x ≠ -4}

But since -4 is not in the interval, the EVT should apply.

(1) What on Earth is an EVT?
(2) Image does not show up on screen.

RGV

 

[Blablablabla]

Hi, sorry about that. I fixed it

 

[Ray Vickson]

Hi, sorry about that. I fixed it

What, exactly, does the EVT say? I mean the version of the EVT theorem in your textbook or course notes. (I have seen some versions in which the answer would be "no" and other versions in which the answer would be "yes".)

RGV

 

[Blablablabla]

The Extreme Value Theorem

If f is continuous on a closed interval [a, b], then f attains an absolute maximum value f(c) for some number c in [a, b] and an absolute minimum value f(d) for some number d in [a, b].

That's what my textbook says