bereich (x-2)^3

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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bereich 2x²+6x

Solution

f(x)≤ −4√3 or f(x)≥ 4√3

Interval Notation

(−∞ , −4√3]∪ [4√3, ∞ )

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Definition Funktionsbereich

Die Menge der Werte der abhängigen Variablen, für die eine Funktion definiert ist

Schreibe um

2x²+6x =y

Multipliziere beide Seiten mit x

2x²+6=yx

Der Bereich ist die Menge an y, für die die Diskriminante größer oder gleich Null ist

Diskriminante 2x²+6=yx: y²−48

y²−48≥ 0 : y≤ −4√3 or y≥ 4√3

Prüfe, ob die Bereichsendpunkte innerhalb des Intervalls liegen

y=−4√3 : inbegriffen

y=4√3 : inbegriffen

Deshalb ist der Bereich:

f(x)≤ −4√3 or f(x)≥ 4√3

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domäne 2x²+6x

invers 2x²+6x

interzeption 2x²+6x

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

bereich (x-2)^3

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