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 (numerically) 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 (and no local minimum).

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.

CAS Syntax

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

Unlike in the Algebra View, this syntax will give the maximum over the interval, including endpoints

Example:

• Max(x^2,-1,2) yields the point (2,4)
• Max(-x^2,-1,2) yields the point (0,0)