Uttryck 7: 0 less than or equal to "y" less than or equal to "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction floor left parenthesis, StartFraction, "x" minus "a" Over "b" minus "a" , EndFraction "n" , right parenthesis , right parenthesis left brace, "a" less than or equal to "x" less than or equal to "b" , right brace0≤y≤fa+b−anfloorx−ab−ana≤x≤b
7
Uttryck 8: "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction floor left parenthesis, StartFraction, "x" minus "a" Over "b" minus "a" , EndFraction "n" , right parenthesis , right parenthesis less than or equal to "y" less than or equal to 0 left brace, "a" less than or equal to "x" less than or equal to "b" , right bracefa+b−anfloorx−ab−an≤y≤0a≤x≤b
8
Uttryck 9: left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" , right parenthesis , max left parenthesis, "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" minus 1 , right parenthesis , right parenthesis , right parenthesis times left parenthesis, "n" "t" minus floor left parenthesis, "n" "t" , right parenthesis , right parenthesis times max left parenthesis, StartFraction, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis Over StartAbsoluteValue, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , EndAbsoluteValue , EndFraction , 0 , right parenthesis , right parenthesisa+b−an·floornt,maxfa+b−an·floornt,fa+b−an·floornt−1·nt−floornt·maxfa+b−an·floorntfa+b−an·floornt,0
9
Uttryck 10: left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" plus 1 , right parenthesis , min left parenthesis, "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" plus 1 , right parenthesis , right parenthesis , "f" left parenthesis, "a" plus StartFraction, "b" minus "a" Over "n" , EndFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , right parenthesis times left parenthesis, "n" "t" minus floor left parenthesis, "n" "t" , right parenthesis , right parenthesis times negative 1 times min left parenthesis, StartFraction, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis Over StartAbsoluteValue, "f" left parenthesis, "a" plus StartNestedFraction, "b" minus "a" NestedOver "n" , EndNestedFraction times floor left parenthesis, "n" "t" , right parenthesis , right parenthesis , EndAbsoluteValue , EndFraction , 0 , right parenthesis , right parenthesisa+b−an·floornt+1,minfa+b−an·floornt+1,fa+b−an·floornt·nt−floornt·−1·minfa+b−an·floorntfa+b−an·floornt,0
10
Uttryck 11: "x" equals "b" left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "b" minus StartFraction, "b" minus "a" Over "n" , EndFraction , right parenthesis , right bracex=b0≤y≤fb−b−an
11
Uttryck 12: "x" equals "b" left brace, "f" left parenthesis, "b" minus StartFraction, "b" minus "a" Over "n" , EndFraction , right parenthesis less than or equal to "y" less than or equal to 0 , right bracex=bfb−b−an≤y≤0
12
Uttryck 13: "x" equals "a" left brace, 0 less than or equal to "y" less than or equal to "f" left parenthesis, "a" , right parenthesis , right bracex=a0≤y≤fa
13
Uttryck 14: "x" equals "a" left brace, "f" left parenthesis, "a" , right parenthesis less than or equal to "y" less than or equal to 0 , right bracex=afa≤y≤0
14
15
driven av
driven av
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
over÷
funktioner
((
))
less than<
greater than>
44
55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+
eller
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Exempel
Linjer: Linjära funktioner
exempel
Linjer: Enpunktsformeln
exempel
Linjer: Tvåpunktsformeln
exempel
Parabler: Standardform
exempel
Parabler: Vertexform
exempel
Parabler: Standardform och tangens
exempel
Trigonometri: Våglängd och amplitud
exempel
Trigonometri: Fas
exempel
Trigonometri: Interferens
exempel
Trigonometri: Enhetscirkeln
exempel
Kägelsnitt: Cirkel
exempel
Kägelsnitt: Parabel och fokus
exempel
Kägelsnitt: Ellips med fokus
exempel
Kägelsnitt: Hyperbel
exempel
Polära ekvationer: Ros
exempel
Polära ekvationer: Logaritmisk spiral
exempel
Polära ekvationer: Limacon
exempel
Polära ekvationer: Kägelsnitt
exempel
Parameterform: Introduktion
exempel
Parameterform: Cykloid
exempel
Transformation: Avbildning av en funktion
exempel
Transformation: Förändra skalan på en funktion
exempel
Transformation: Invers av en funktion
exempel
Statistik: Linjär regression
exempel
Statistik: Anscombs kvartett
exempel
Statistik: Polynom av 4:e grad
exempel
Listor: Sinuskurvor
exempel
Listor: Stickandet av kurvor
exempel
Listor: Rita en graf från en lista med punkter
exempel
Infinitesimalkalkyl: Derivata
exempel
Infinitesimalkalkyl: Sekantlinje
exempel
Infinitesimalkalkyl: Tangentlinje
exempel
Infinitesimalkalkyl: Taylorutveckling av sin(x)
exempel
Infinitesimalkalkyl: Integraler
exempel
Infinitesimalkalkyl: Integraler med justerbara gränser