Examine Functions With Geogebra

EXAMINING FUNCTIONS WITH GEOGEBRA GeoGebra provides many opportunities to examine a function or multiple functions simultaneously . This overview discussing some of the most used possabilities. In the official manual there is a comprehensive overview . Eksamining functions Type f x = 2 x 4 and g x =− x 5 in the input bar. Adust the axes to get this image! "e will find! – Intersection with x #axis $roots%. – Intersection with y #axis – &oint of intersection – A s pesific x #value ' y #value – (aximum'minimum $)uadratic function% – Gradient'slope $)uadratic function% Intesection !it" t"e x #aksis $oot% Ty pe *oot+f, in the input field. GeoGebra will find the root of f $ x %- A $#2-/%. Intesection !it" t"e &#a'is 0hoose Intersect Tw o 1bects. eft clic3 the x #axis- then the straight line $or reverse%. GeoGebra will find $/-4%. Dette verk av Jon Arild Jørgensen er lisensieret under en Creative CommonsNavngivelse-Ikkekommersiell-Del på samme vilkår 3.0 Norge lisens .

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Transcript of Examine Functions With Geogebra

8/16/2019 Examine Functions With Geogebra

http://slidepdf.com/reader/full/examine-functions-with-geogebra 1/3

8/16/2019 Examine Functions With Geogebra

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Intesection (et!een ga)"s

ame procedure as shown above. Alternativelyuse the command Intersect+f-g,.

GeoGebra will find the point of intersection!0 $/-66-4-78%

Fin*ing t"e y #+a,ue !"en t"e x #+a,ue is gi+en9i will find the y #value when x 2

Type x2 in the input bar- and use the toolIntersect Two 1bects twice $to findboth intersection points%. GeoGebra finds: $2-6% between g and the line x2- and; $2-<% between f and the line x2.

The desired y #values are! y 6 og y <.

To find x #values- we ma3e a horisontal lineinstead of a vertical one. Try=

Ma'imum an* minimum of )o,&nomia, functionstraight lines hva no maximum or minimum. Therefore- we open a new window and draw

the graph of the function h x =/.5 x 6−2 x 2

Type Turning&oint+h, in the input barand press enter. GeoGebra finds

maximum and minium $if they exist%.The function h have

(aximum A $#>->5-6-54%(inimum $>->5-/-47%

Dette verk av Jon Arild Jørgensen er lisensieret under en

Creative CommonsNavngivelse-Ikkekommersiell-Del på samme vilkår 3.0 Norge lisens.

http://www.geogebra.no/

http://creativecommons.org/licenses/by-nc-sa/3.0/no/

http://www.geogebra.no/