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Maxima and Minima
Maxima and Minima A maximum is the point in the domain of a function where the function takes its largest value . It is the highest point on the graph...
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Maxima and Minima A maximum is the point in the domain of a function where the function takes its largest value . It is the highest point on the graph...
A maximum is the point in the domain of a function where the function takes its largest value. It is the highest point on the graph of a function.
In other words, a maximum is the point where the function achieves its highest value.
A minimum is the point in the domain of a function where the function takes its smallest value. It is the lowest point on the graph of a function.
In other words, a minimum is the point where the function achieves its lowest value.
For example, consider the function (f(x) = x^2).
The function has a maximum at (x = 0) with the value (f(0) = 0).
The function has a minimum at (x = 2) with the value (f(2) = 4).
The function has a minimum at (x = -1) with the value (f(-1) = 1).
These are just a few examples of maximum and minimum values. The specific values of maximum and minimum points can vary depending on the function