- #1
jdinatale
- 155
- 0
Hello, below I have typed the problem and drew a diagram to help me think about the problem.
It seems intuitive to me that [itex]M \leq M'[/itex] since M' might be the absolute value of the most extreme negative f value that is greater in magnitude than the most extreme positive f value. Also, [itex]m \leq m' [/itex] since [itex]m' \geq 0[/itex] and m could be negative.
Is this type of problem best handled with cases such as Case 1: [itex]f(x) \leq 0[/itex]?
It seems intuitive to me that [itex]M \leq M'[/itex] since M' might be the absolute value of the most extreme negative f value that is greater in magnitude than the most extreme positive f value. Also, [itex]m \leq m' [/itex] since [itex]m' \geq 0[/itex] and m could be negative.
Is this type of problem best handled with cases such as Case 1: [itex]f(x) \leq 0[/itex]?