Example of a continuous function

[joxer06]

Hi, just a home work question I am having problems with. it has to be solved graphically.

(1) Give an example of a continuous function f : [a,b] -> R that has no local maximum or local minimum at an endpoint

 

[Mystic998]

There's not much one can do without basically giving you an answer. But you might try drawing some graphs that satisfy the requirements, then see if you can think of a function that's similar looking.

 

[Astronuc]

So neither endpoint is a local min or max, which means?

 

[Mystic998]

Oh, it has to be solved graphically. I guess drawing graphs wouldn't be so useful there. Sorry about that.