Question

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

Answer 1

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

Answer 2

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

Answer 3

Q1 is wrong

Answer 4

Q2 is wrong

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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