Weitere Bedingungen für Funktionssynthesen

Bisher haben wir nur Punkte vorgegeben, die der Funktionsgraph einer gesuchten Funktion schneiden soll. Es gibt aber noch ganz andere Bedingungen, die wir an eine Funktion stellen können.[br]Aus diesen Bedingungen erstellt man sich dann einen "Steckbrief", bevor man an die Arbeit geht, diese Funktion zu berechnen. Daher heißen diese Art von Aufgaben oft auch "Steckbriefaufgaben".[br][br]So ein Steckbrief könnte lauten:[br][i][color=#38761d]Gesucht ist eine Funktion[/color][/i] [math]\fgcolor{#38761d}{f(x)}[/math],[color=#38761d] [i]die den Punkt[/i][/color] [math]\fgcolor{#38761d}{(2|3)}[/math] [i][color=#38761d]schneidet, die bei[/color][/i] [math]\fgcolor{#38761d}{x_E=4}[/math] [i][color=#38761d]einen Hochpunkt hat, die einen Wendepunkt im Punkt[/color][/i] [math]\fgcolor{#38761d}{(7|-1)}[/math] [i][color=#38761d]besitzt und die Funktion[/color][/i] [math]\fgcolor{#38761d}{g(x)=-2\cdot x+6}[/math] [color=#38761d][i]an der Stelle[/i][/color] [math]\fgcolor{#38761d}{x=-1}[/math] [color=#38761d][i]schneidet[/i].[/color][br][br][size=200]Hier ist eine Zusammenstellung der am häufigsten verwendeten Bedingungen:[/size]
1. f(x) enthält den Punkt P
Diese Bedingung haben wir im vorangehenden Kapitel schon ausprobiert.[br][table][tr][td]Gegeben ist der Punkt [math]P(p_x|p_y)[/math] [br][math]f(x)[/math] enthält diesen Punkt[/td][td]Mathematische Formulierung der Bedingung: [br][math]f(p_x)=p_y[/math][br][br]in der Abbildung: [br][math]f(4)=3[/math][br][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
2. f(x) hat an der Stelle x=a die Steigung m
[table][tr][td]Gegeben ist die Stelle [math]a[/math] und die Steigung [math]m[/math][/td][td]Mathematische Formulierung der Bedingung:[br][math]f'(a)=m[/math][br][br]In der Abbildung: [br][math]f'(3)=-2[/math][br][br][/td][td][img]data:image/png;base64,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[/img][br][/td][/tr][/table]
f(x) hat an der Stelle x=a ein Extremum
[table][tr][td]Gegeben ist die Stelle [math]a[/math]. [br]Hier soll ein Hoch. oder ein Tiefpunkt sein.[/td][td]Mathematische Formulierung der Bedingung:[br][math]f'(a)=0[/math][br](notwendige Bedingung für Extrema)[br][br]In der Abbildung: [br][math]f'(2)=0[/math][br][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
3. f(x) hat an der Stelle x = b ein Wendepunkt
Hier kann die Bedingung auch lauten: Bei x=b [b]steigt[/b] (oder [b]fällt[/b]) die Funktion [b]am stärksten[/b] oder [b]am wenigsten[/b]. Denn Wendestellen sind immer Extremstellen der ersten Ableitung, also extreme Steigungen.[br][table][tr][td]Gegeben ist die Stelle x= [math]b[/math]. [br][list][*]Hier ist eine [b]Wendestelle[/b][/*][*]oder hier ist die [b]Steigung am größten[/b][/*][*]oder hier ist die [b]Steigung am kleinsten[/b][br][/*][/list][/td][td]Mathematische Formulierung der Bedingung: [br][math]f''(b)=0[/math][br](notwendige Bedingung für eine Wendestelle)[br][br]In der Abbildung:[br][math]f''(2)=0[/math][br][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
4. f(x) hat im Punkt P ein Extremum
In manchen Formulierungen stecken gleich [b][color=#980000]zwei Bedingungen[/color][/b] drin. Dies ist ein Beispiel dafür:[br][br][table][tr][td]Gegeben ist der Punkt [br][math]P(p_x|p_y)[/math]. [br]Dieser Punkt soll ein Hoch- oder ein Tiefpunkt sein[/td][td]Mathematische Formulierung der Bedingungen:[list=1][*][math]f(x)[/math] enthält den Punkt P, also gilt: [math]f(p_x)=p_y[/math][/*][*]P ist ein Extremum, also [math]f'(p_x)=0[/math][/*][/list][br]In der Abbildung: [br][math]f(2)=-1[/math] und [math]f'(2)=0[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
5. f(x) hat einen Sattelpunkt im Punkt im Punkt S
In dieser Bedingung sind sogar [b][color=#980000]drei Bedingungen[/color][/b] versteckt, denn ein Sattelpunkt ist ein Wendepunkt mit der Steigung Null:[br][br][table][tr][td]Gegeben ist der Punkt[br] [math]S(s_x|s_y)[/math]. Hier soll ein Sattelpunkt sein.[/td][td]Mathematische Formulierung der Bedingungen:[list=1][*][math]f(x)[/math] enthält den Punkt [math]S[/math], also [math]f(s_x)=s_y[/math][/*][*]Bei [math]x=s_x[/math] ist die Steigung Null, also [math]f'(s_x)=0[/math][/*][*]Ein Sattelpunkt ist auch ein Wendepunkt, also [math]f''(s_x)=0[/math][/*][/list]In der Abbildung:[math]f(2)=1[/math], [math]f'(2)=0[/math] und [math]f''(2)=0[/math][br][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
6. f(x) schneidet die Funktion g(x) an der Stelle x=c
[table][tr][td]Gegeben ist eine Funktion [math]g(x)[/math] und die Stelle [math]x=c[/math].[/td][td]Mathematische Formulierung der Bedingung:[br]f(c)=g(c)[br][br]In der Abbildung: [br][math]f(3)=g(3)[/math] mit [math]g(x)=x^2-4\cdot x+4[/math][br][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
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