Difference between revisions of "Max Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|cas=true|algebra}} | {{command|cas=true|algebra}} | ||
| − | ;Max[ <Number | + | ;Max[ <Number>, <Number> ] |
| − | : | + | :Returns the maximum of the two given numbers. |
| − | :{{example| 1= | + | :{{example| 1=<code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.}} |
;Max[ <List of Numbers> ] | ;Max[ <List of Numbers> ] | ||
| − | : | + | :Returns the maximum of the numbers within the list. |
| − | :{{example| 1= | + | :{{example| 1=<code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.}} |
| − | :{{note| 1=If the input consists of non-numeric objects, then ''Max[] | + | :{{note| 1=If the input consists of non-numeric objects, then ''Max''[] considers the numbers associated with those objects. For example, ''Max''[''List of Segments''] will yield the maximum segment length.}} |
| + | |||
;Max[ <Function>, <left-x>, <right-x> ] | ;Max[ <Function>, <left-x>, <right-x> ] | ||
:Calculates the maximum point of the function in the given interval. The function should be continuous and have only one ''local'' maximum point in the interval. | :Calculates the maximum point of the function in the given interval. The function should be continuous and have only one ''local'' maximum point in the interval. | ||
| + | :{{example| 1=<code><nowiki>Max[ x^3 + 2x^2 - 1, -2, 0]</nowiki></code> creates the point (-1.33, 0.19).}} | ||
;Max[ <Interval> ] | ;Max[ <Interval> ] | ||
| − | : | + | :Returns the upper bound of the interval. |
| − | :{{example| 1= | + | :{{example| 1=<code><nowiki>Max[2 < x < 3]</nowiki></code> yields ''3''.}} |
:{{note| 1=Open and closed intervals are treated the same.}} | :{{note| 1=Open and closed intervals are treated the same.}} | ||
{{note| 1=See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].}} | {{note| 1=See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;Max[ <Number | + | ;Max[ <Number>, <Number> ] |
| − | : | + | :Returns the maximum of the two given numbers. |
| − | :{{example| 1= | + | :{{example| 1=<code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.}} |
;Max[ <List of Numbers> ] | ;Max[ <List of Numbers> ] | ||
| − | : | + | :Returns the maximum of the numbers within the list. |
| − | :{{example| 1= | + | :{{example| 1=<code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.}} |
{{note| 1=See also [[Extremum Command]] and [[Min Command]].}} | {{note| 1=See also [[Extremum Command]] and [[Min Command]].}} | ||
Revision as of 17:43, 23 June 2013
- Max[ <Number>, <Number> ]
- Returns the maximum of the two given numbers.
- Example:
Max[12, 15]yields 15.
- Max[ <List of Numbers> ]
- 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 Max[] considers the numbers associated with those objects. For example, Max[List of Segments] will yield the maximum segment length.
- Max[ <Function>, <left-x>, <right-x> ]
- Calculates the maximum point of the function in the given interval. The function should be continuous and have only one local maximum point in the interval.
- Example:
Max[ x^3 + 2x^2 - 1, -2, 0]creates the point (-1.33, 0.19).
- 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.
Note: See also Extremum Command, Min Command and Function Inspector Tool.
CAS Syntax
- Max[ <Number>, <Number> ]
- Returns the maximum of the two given numbers.
- Example:
Max[12, 15]yields 15.
- Max[ <List of Numbers> ]
- Returns the maximum of the numbers within the list.
- Example:
Max[{-2, 12, -23, 17, 15}]yields 17.
Note: See also Extremum Command and Min Command.
