Difference between revisions of "Intervals"

From GeoGebra Manual
Jump to: navigation, search
m (Text replace - "<div class="box info"> 48px|left This page is part of the official manual for print and pdf. For structural reasons normal users can't edit this page. If you found any errors on this page please contact )
m
Line 1: Line 1:
<noinclude>{{Manual Page|version=4.2}}</noinclude>
+
<noinclude>{{Manual Page|version=5.0}}</noinclude>
 
{{objects|geometric}}
 
{{objects|geometric}}
 
An interval is a set of numbers between upper and lower bound. To create an interval, type e.g. <code>2 < x < 3</code> in [[Input Bar]]. Interval in previous example is open. You can also define closed (<code>2 ≤ x ≤ 3</code>) and semi-closed (<code>2 ≤ x < 3</code>) intervals.  
 
An interval is a set of numbers between upper and lower bound. To create an interval, type e.g. <code>2 < x < 3</code> in [[Input Bar]]. Interval in previous example is open. You can also define closed (<code>2 ≤ x ≤ 3</code>) and semi-closed (<code>2 ≤ x < 3</code>) intervals.  

Revision as of 10:05, 20 July 2015



An interval is a set of numbers between upper and lower bound. To create an interval, type e.g. 2 < x < 3 in Input Bar. Interval in previous example is open. You can also define closed (2 ≤ x ≤ 3) and semi-closed (2 ≤ x < 3) intervals.

Note: See also Boolean values.

To determine whether number c belongs to interval r type r(c) into the Input Bar, the result will be a Boolean value. Generalization of intervals are Inequalities.

Commands for intervals

  • Min, Max, Midpoint for an interval with lower bound a and upper bound b return numbers a, b and \frac{a+b}2 respectively. The result doesn't depend on whether the interval is open, closed or semi-closed.
  • Point returns a moveable point whose x-coordinate belongs to the interval and y-coordinate is 0.
  • PointIn returns a moveable point whose x-coordinate belongs to the interval and y-coordinate may be changed arbitrarily.
© 2021 International GeoGebra Institute