In part B, should the endpoints be considered as locations of critical points? On the internet, there are arguments for including them and some for not including them.
People who are considering the endpoints are confusing this with an extreme value theorem question where you would consider BOTH critical numbers and endpoints (assuming the function is continuous). Critical numbers are defined as points x=c where f'(c)=0 or f'(c) is undefined AND x=c is in the domain of f(x). Based on this definition the endpoints are not critical numbers.
In part B, should the endpoints be considered as locations of critical points? On the internet, there are arguments for including them and some for not including them.
People who are considering the endpoints are confusing this with an extreme value theorem question where you would consider BOTH critical numbers and endpoints (assuming the function is continuous). Critical numbers are defined as points x=c where f'(c)=0 or f'(c) is undefined AND x=c is in the domain of f(x). Based on this definition the endpoints are not critical numbers.