Okay, that makes sense. If I just write that on the paper, would that be sufficient? (I'm getting paranoid about all this notation stuff)
EDIT: I just remembered that sometimes the endpoints are the maximum and minimum instead, how would you go about showing sufficient working out for this instance?
Haha yeah you would do the same thing, in my opinion. Let's take an example:
f(x)=4x
3+2x
2-2x+2, where x=<1
The minimum obviously is negative infinity, but let's find the maximum.
f(1)=6 (This is the maximum)
WORKINGf'(x)<0 when -0.608<x<0.274, f'(x)=0 when x=0.274, f'(x)>0 when 0.274<x<1
f(1)=6
The maximum occurs at the endpoint when x=1
This is how I'd go about it but usually it would be a 1 mark question so don't stress out too much!