Maths - fonctions

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fonctions ( images et pre-images et fonctions du 2e degré ( parabole etc )

25 Terms

1

fonction

f : x -> f (x )

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2

f : x -> ( x + 1)2

f ( x ) = ( x + 1 )

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3

x

pré-image

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4

y ou g (x)

image

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5

pré image

antécédent

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6

axe des abscysses

x et pré-image

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7

axe des ordonnées

y et image

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8

fonction du 2e degré

ax2 + bx + c = 0

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9

l'ordonnée à l'origine

hauteur à laquelle la parabole coupe y , 0.0 :

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10

la courbure

parabole en U = convexe , parabole en n = concave

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11

équation de l'axe de symétrie

là ou l'axe de symétrie coupe x , xs =

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12

les zéros

s'il existe = là où la parabole coupe x , zéros : x =

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13

les cordonnées de l'extremum

celles du point le plus haut ou le plus bas , extremum ( x ; x )

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14

la nature de l'extremum

si courbe concave n = maximum , si courbe convexe U = minimum

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15

étude graphique de la parabole

0.0 : zéros : x = axe : xs = extremum = ( x ; x ) minimum / maximum convexe / concave

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16

la courbure

si a > 0 = convexe U, si a < 0 = concave n

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17

axe de symétrie

x = -b/2a

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18

sommet

( x ; y ), y = f ( -b/2a )

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19

max et min ( sommet pt 2 )

si a > 0 = minimum, si a < 0 = maximum

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20

ordonnée à l'origine

0.0 : c

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21

zéros

∆ = b2 - 4ac

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22

∆ > 0

x1 = -b + √∆ / 2a et x2 = -b - √∆ / 2a

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23

∆ = 0

x = (-b) / 2a

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24

∆ < 0

la parabole ne coupe pas l'axe des x

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25

étude algébrique

0.0 : convexe ou concave axe : x = sommet : y = et ( x ; y ) minimum ou maximum zéros : x =

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