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Wiskunde 1 samenvatting examencommisssie 3ASO 2020
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Wiskunde 1 samenvatting examencommisssie 3ASO 2020
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3ASOExamencommissie
vakfiche 2020
,INHOUD
Basis ......................................................................................................................................................... 7
Rekenregels ........................................................................................................................................ 7
Machten ......................................................................................................................................... 7
Haakjesregel ................................................................................................................................... 7
Vierkantswortels.............................................................................................................................. 7
Veeltermen ..................................................................................................................................... 8
Bespreken van functies ..................................................................................................................... 8
Domein en bereik algemeen ....................................................................................................... 8
Domein ............................................................................................................................................ 8
Bereik ............................................................................................................................................... 9
Nulpunten berekenen ................................................................................................................... 9
Tekenverloop .................................................................................................................................. 9
Functieverloop ............................................................................................................................... 9
Functiewaardentabel ................................................................................................................... 9
Even/oneven functies ................................................................................................................... 9
Eerstegraadsfuncties ....................................................................................................................... 10
Voorbeeld ..................................................................................................................................... 10
Grafiek ........................................................................................................................................... 10
Functievoorschrift ......................................................................................................................... 10
Domein en bereik ........................................................................................................................ 10
Nulpunt .......................................................................................................................................... 10
Tekenverloop ................................................................................................................................ 10
Extrema ......................................................................................................................................... 11
Symmetrie ..................................................................................................................................... 11
Differentiequotiënt (=richtingscoëfficiËnt) berkenen .............................................................. 11
Functievoorschrift bepalen uit grafiek ...................................................................................... 11
Snijpunten ..................................................................................................................................... 11
Tweedegraadsfunties ..................................................................................................................... 11
Voorbeeld ..................................................................................................................................... 11
Grafiek ........................................................................................................................................... 12
Functievoorschrift ......................................................................................................................... 12
Top ................................................................................................................................................. 12
Symmetrie ..................................................................................................................................... 12
Domein .......................................................................................................................................... 12
Bereik ............................................................................................................................................. 12
pag. 1
, Stijgen/dalen ................................................................................................................................ 12
Minimum/maximum (extrema) .................................................................................................. 12
Nulwaarden .................................................................................................................................. 13
Tekenverloop ................................................................................................................................ 13
Transformeren ............................................................................................................................... 13
Tweedegraadsvergelijkingen ......................................................................................................... 14
Vorm 1 ........................................................................................................................................... 14
Vorm 2 ........................................................................................................................................... 14
Vorm 3 ........................................................................................................................................... 14
Vorm 4 ........................................................................................................................................... 14
Differentiequotiënt .......................................................................................................................... 15
Methode 1: gegeven grafiek ..................................................................................................... 15
Methode 2: gegeven functievoorschrift .................................................................................. 15
Veeltermfuncties ................................................................................................................................. 15
Algemeen ......................................................................................................................................... 15
Grafiek ........................................................................................................................................... 15
Functievoorschrift ......................................................................................................................... 15
Domein .......................................................................................................................................... 15
Bereik ............................................................................................................................................. 15
Nulwaarden .................................................................................................................................. 15
Functiewaardetabel .................................................................................................................... 15
Tekenverloop ................................................................................................................................ 16
Stijgen/dalen ................................................................................................................................ 16
Symmetrie ..................................................................................................................................... 16
Ontbinden in factoren .................................................................................................................... 16
Schema ontbinden in factoren .................................................................................................. 16
Regel van Horner ......................................................................................................................... 17
Rationale functies ............................................................................................................................... 18
Functievoorschrift ......................................................................................................................... 18
Homografische functie ................................................................................................................ 18
Euclidische deling ........................................................................................................................ 19
Asymptoten .................................................................................................................................. 20
Notaties ......................................................................................................................................... 20
Domein .......................................................................................................................................... 20
Bereik ............................................................................................................................................. 20
Transformaties ............................................................................................................................... 20
Voorschrift bepalen ..................................................................................................................... 22
pag. 2
, Irrationale functies ............................................................................................................................... 22
Voorschrift ..................................................................................................................................... 22
Domein .......................................................................................................................................... 22
Nulwaarden .................................................................................................................................. 22
Tekenverloop ................................................................................................................................ 23
Functieverloop (stijgen/dalen) ................................................................................................... 23
Asymptoten .................................................................................................................................. 23
Exponentiële functies.......................................................................................................................... 23
Algemeen ......................................................................................................................................... 23
Functievoorschrift ......................................................................................................................... 23
Domein .......................................................................................................................................... 23
Bereik ............................................................................................................................................. 23
Stijgen/dalen en grafiek .............................................................................................................. 24
Asymptoot .................................................................................................................................... 24
Transformaties ............................................................................................................................... 24
Andere vormen ................................................................................................................................ 25
Voorbeeld 1 .................................................................................................................................. 25
Voorbeeld 2 .................................................................................................................................. 25
Voorbeeld 3 .................................................................................................................................. 25
Exponentiële verbanden ................................................................................................................ 25
Exponentiële groei ....................................................................................................................... 25
Exponentiële daling ..................................................................................................................... 26
Exponentiële groei en daling onderscheiden .......................................................................... 27
Groeifactor aanpassen ............................................................................................................... 27
Gegevens afleiden uit functiewaardetabel ............................................................................ 27
Lineaire groei ................................................................................................................................ 28
Exponentiële groei ....................................................................................................................... 28
Interest ........................................................................................................................................... 28
Exponentiële vergelijkingen ........................................................................................................... 28
Rekenregels .................................................................................................................................. 28
Oplossen van exponentiële vergelijkingen .............................................................................. 28
Logaritmische functies ........................................................................................................................ 29
Logaritmes ........................................................................................................................................ 29
Algemeen ..................................................................................................................................... 29
Rekenregels .................................................................................................................................. 29
Rekenmachine ............................................................................................................................. 29
Logaritmische funties....................................................................................................................... 29
pag. 3
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