Max And Min In Math. Calculus can be used to find the exact maximum and minimum using derivatives. And those are pretty obvious.
Assuming this function continues downwards to left or right. And those are pretty obvious. There is only one global maximum and one global minimum but there can be more than one local maximum or minimum.
And those are pretty obvious.
The global minimum is infinity. It looks like when x is equal to 0 this is the absolute maximum point for the interval. In formal words this means that for every local minimum maximum x there is an epsilon such that f x is smaller greater than all values f y for all y that have distance at most epsilon to x. The maximum or minimum over the entire function is called an absolute or global maximum or minimum.