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range of x^3

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

☐²

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ddx

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

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gamme x²x²+1

Solution

0≤ f(x)<1

Interval Notation

[0, 1)

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Solution steps

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Définition de la plage de fonction

L'ensemble des valeurs de la variable dépendante pour lesquelles une fonction est définie

Récrire comme

x²x²+1 =y

Multiplier les deux côtés par x²+1

x²=y(x²+1)

La plage est l'ensemble des y pour lesquels le discriminant est supérieur ou égal à zéro

Discriminant noté x²=y(x²+1): −4y²+4y

−4y²+4y≥ 0 : 0≤ y≤ 1

Vérifier si les points d'extrémités de la plage d'intervalle sont inclus

y=0 : Inclus

y=1 : Exclu

Par conséquent la plage est

0≤ f(x)<1

Solve instead

domaine indéfini x²x²+1

inverser x²x²+1

points d'intersection x²x²+1

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

range of x^3

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