Find all the local and absolute maximums and minimums

Question

anonymous · Answer

http://roy.math.umn.edu/webwork2_course_files/umtymp-calculus1-f13/tmp/gif/muzzammil-Q-raza-2211-setExtrema_and_MVTprob1image1.png

anonymous · Answer

i said the local maximum is at x=3, the local minimum is at x=2, absolute maximum is at x=0, and the absolute minimum is at x=5. there are either more answers or some of mine are wrong. I don't know which one

turingtest · Answer

a local max/min means that from that point, the graphs either increases or decreases in value whichever way you go
you missed one such local value, the other answers are righgt

anonymous · Answer

i missed a local max or min

turingtest · Answer

actually I misread your answer, you have a different problem
what is the value at x=0 ?

anonymous · Answer

it doesnt exist?

turingtest · Answer

correct, so it can't be a maximum or a minimum point at all

so then what is you maximum? is it local or global?

anonymous · Answer

i need a global maximum then

anonymous · Answer

wouldn't it be the point right before 0

anonymous · Answer

@TuringTest

anonymous · Answer

@zepdrix

anonymous · Answer

@campbell_st

raffle_snaffle · Answer

Look at x=0

raffle_snaffle · Answer

do you know what the diff between abs max and local max?

anonymous · Answer

yeah a local max is the max in its area. absolute max is the biggest max. our teacher told us an endpoint can't be a local max

raffle_snaffle · Answer

but did she say endpoints cant be abs max?

anonymous · Answer

yes

raffle_snaffle · Answer

http://www.math-prof.com/Calculus_1/Calc_Ch_14.asp read this

anonymous · Answer

The only points where the absolute maximum or minimum function values	
 can possible occur are the local minima and maxima, 	
 that is, places where the slope is zero OR ...	
 endpoints.

anonymous · Answer

1.      We say that f(x) has an absolute (or global) maximum at  if  for every x in the domain we are working on.
2.      We say that f(x) has a relative (or local) maximum at  if  for every x in some open interval around .
3.      We say that f(x) has an absolute (or global) minimum at  if  for every x in the domain we are working on.
4.      We say that f(x) has a relative (or local) minimum at  if  for every x in some open interval around .

anonymous · Answer

ok

anonymous · Answer

welcome!

anonymous · Answer

no but i need to find the local and absolute maximums and minimums

arabpride · Answer

MAYBE>>>> (0,6)   and >>>> (2,4) ( I MIGHT B WRONG THO)