Answer:
Here are three non-examples of minimum value with an explanation on why it isn't:
The smallest number in a set: While the smallest number in a set may be the minimum value in terms of magnitude, it is not necessarily the minimum value of a function. A function can have multiple local minimums and one global minimum, which may not coincide with the smallest number in a set of its values.
A point where the derivative is zero: A point where the derivative of a function is zero is a critical point, but it may not be a minimum value. A critical point can be a maximum, minimum, or a saddle point, depending on the behavior of the function around it.
A point where the function stops decreasing: A point where a function stops decreasing may be a local minimum, but it is not necessarily the minimum value of the function. A function can have multiple local minimums, and a point where the function stops decreasing may not be the absolute minimum.