Question

A global maximum of g on the interval [0, 2] must occur at a critical point. this is wrong? am i right? because it should happen at the end point

Answer 1

it could happen at the critical point (keyword "could")

but it also could happen at the endpoint since the endpoint could be higher than the critical point

Answer 2

saying "because it should happen at the end point" is wrong because the critical point could be above the endpoint, so the endpoint isn't always the global max

Answer 3

if the question is must occur at a critical point so is it wrong? i think it depends on the critical points right?

Answer 4

yes you are correct, so it only happens sometimes

Answer 5

so the original statement is false

Answer 6

alright, thanks! :)

Answer 7

yw