Answer
local maximum values:
$f(4)= 5$
$f(6) = 4$
The absolute maximum value is: $f(4)= 5$
local minimum values:
$f(1)= 3$
$f(2) = 2$
$f(5) = 3$
There is no absolute minimum value since there is no point that is the lowest point on the graph.
Work Step by Step
We can find the local maximum values:
$f(4)= 5$
$f(6) = 4$
The absolute maximum value is: $f(4)= 5$
We can find the local minimum values:
$f(1)= 3$
$f(2) = 2$
$f(5) = 3$
There is no absolute minimum value since there is no lowest point on the graph.