Can someone check my answer with this? Max and Min values!

Question

lifeisadangerousgame · Answer

Q 1: Sketch the graph of a function that has a local maximum at 9 and is differentiable at 9.

lifeisadangerousgame · Answer

Q 2:Sketch the graph of a function that has a local maximum at 9 and is not differentiable at 9.

eliesaab · Answer

Q1 is wrong

eliesaab · Answer

Q2 is wrong

eliesaab · Answer

In both having a maximum at 9, means at x=9. The maximum y can be anything

lifeisadangerousgame · Answer

Absolute maximum means x = 9, so absolute min means y = something?

eliesaab · Answer

Let say 
$$f(x)=-x^2 + 5
$$
f has an absolute maximum at x=0 and this maximum is f(0)=5

eliesaab · Answer

attachment

eliesaab · Answer

on the above example the function has a local maximum at x=1. This local maximum is 9, meaning the value of the function at x=1 is 9

lifeisadangerousgame · Answer

Ohh. It kind of makes sense. So does minimum mean the same?