Explain how a function can have an absolute minimum value at an endpoint of an interval.

STEP_BY_STEP SOLUTION Step-1 Let f be a continuous function defined on an open interval containing a number ‘c’.The 1 1 number ‘c’ is critical value ( or critical number ). If f (c) = 0 or f (c) is undefined. A critical point on that graph of f has the form (c,f(c)). Step_2 Now , we have to Explain how a function can have an absolute minimum value at an endpoint of an interval. That is ; 1. Verify that the function is continuous on the interval [a, b]. 2. Find all critical points of f(x) that are in the interval (a,b). 3. Add the endpoints a and b of the interval [a,b] to the list of points found in step-2. 4. Compute the value of f at each of the points in this list. 5. The smallest value in...