Does have an absolute minimum value? An absolute maximum? If so, find them or give reasons why they fail to exist. List all critical points of ƒ.
Step 1 of 3 :
In this problem, we have to find an absolute minimum of absolute maximum the list the critical points of function.
Step 2 of 3 :
Given function is
is continuous and defined for all real x .
Solve for x by equating to zero
Let us find the end behaviour of the function
Conclude that has no absolute minimum and that if it has a maximum it is achieved in [-7,11/3].
Since is continuous, we are guaranteed that the absolute maximum is indeed achieved in that interval.