Question

can a value be a local and absolute min?

Answer 1

yes, here is one example

Answer 2

can endpoints also be local extrema

Answer 3

no, a local extrema cannot be at an endpoint

you need to have the point be in a neighborhood such that there are points on either side of the local extrema

Answer 4

you can have an absolute extrema at an endpoint or at a local extrema location

Answer 5

Thanks for the clarifaction! really appreciate it

Answer 6

you're welcome