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x^2>64

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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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f(x)=4x(4x−2)(x²−3)

Solution

Domain: −∞ <x<∞

Range: f(x)≥ −50.99417…

X Intercepts: (0, 0), (12 , 0), (−√3, 0), (√3, 0), Y Intercepts: (0, 0)

Asymptotes: لا يوجد

Extreme Points: صغرى(−1.17429…, −50.99417…), عظمى(0.24479…, 2.93880…), صغرى(1.30450…, −21.80009…)

Interval Notation

Domain: (−∞ , ∞ )

Range: [−50.99417…, ∞ )

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Solution steps

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4x(4x−2)(x²−3) مجال التعريف لـ: −∞ <x<∞

4x(4x−2)(x²−3) المدى لـ: f(x)≥ −50.99417…

X Intercepts: (0, 0), (12 , 0), (−√3, 0), (√3, 0), Y Intercepts: (0, 0) :4x(4x−2)(x²−3) تقاطع مع المحاور لـ

لا يوجد :4x(4x−2)(x²−3) خطوط تقارب لـ

نقاط قصوى ومقاطع ذات إشارة ميل رتيبة: صغرى(−1.17429…, −50.99417…), عظمى(0.24479…, 2.93880…), صغرى(1.30450…, −21.80009…)

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ddx (4x(4x−2)(x²−3))

parity 4x(4x−2)(x²−3)

symmetry 4x(4x−2)(x²−3)

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

x^2>64

Solution

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