Problem 8
Page 268
Section 4.2: Maximum and Minimum Values
Chapter 4: Applications of Differentiation
Given information
Function is continuous in the given domain but no information about it's differentiability is given so, for the given problem simple function that is continuous within the domain will be a straight line or linearly variable function. Also the function has absolute minimum at , absolute maximum at , local maximum and local minimum at and respectively.
Step-by-step explanation
We will start at point of absolute minimum, assume value of function at this point be , function has local maximum at , therefore assume function value at this point to be greater than , let's say , again function has local minimum at , so assume value of function to be less than , let's say , and finally function has absolute maximum at , so assume value of function at this point greater than value of function at local maximum, let's say 4.