Max Command

Max( <List> )

Returns the maximum of the numbers within the list.

Example: Max({-2, 12, -23, 17, 15}) yields 17.

Note: If the input consists of non-numeric objects, then this command considers the numbers associated with those objects. If you have a list of segments for example, the command Max( <List> ) will yield the maximum segment length.

Max( <Interval> )

Returns the upper bound of the interval.

Example: Max(2 < x < 3) yields 3.

Note: Open and closed intervals are treated the same.

Max( <Number>, <Number> )

Returns the maximum of the two given numbers.

Example: Max(12, 15) yields 15.

Max( <Function>, <Start x-Value>, <End x-Value> )

Calculates the local maximum point of the function in the given interval. The function should be continuous and have only one local maximum point in the interval.

Note: For polynomials you should use the Extremum Command.

Example: Max(exp(x)x^2,-3,-1) creates the point (-2, 0.54134).

Max(<List of Data>, <List of Frequencies> )

Returns the maximum of the list of data with corresponding frequencies.

Example: Max({1, 2, 3, 4, 5}, {5, 3, 4, 2, 0}) yields 4, the highest number of the list whose frequency is greater than 0.

Note:

• If you want the maximum of two functions f(x) and g(x) then you can define (f(x) + g(x) + abs(f(x) - g(x)))/2
• See also Extremum Command, Min Command and Function Inspector Tool.