55+0=

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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`^☐
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simplify solve for inverse tangent line

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y=2cos(x)

Solution

Period: 2π

Domain: −∞ <x<∞

Range: −2≤ f(x)≤ 2

X Intercepts: (π2 +2πn, 0), (3π2 +2πn, 0), Y Intercepts: (0, 2)

Asymptotes: None

Extreme Points: Maximum(2πn, 2), Minimum(π+2πn, −2)

Interval Notation

Domain: (−∞ , ∞ )

Range: [−2, 2]

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Solution steps

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Periodicity of 2cos(x): 2π

Domain of 2cos(x) : −∞ <x<∞

Range of 2cos(x): −2≤ f(x)≤ 2

Axis interception points of 2cos(x): X Intercepts: (π2 +2πn, 0), (3π2 +2πn, 0), Y Intercepts: (0, 2)

Asymptotes of 2cos(x): None

Extreme Points of 2cos(x): Maximum(2πn, 2), Minimum(π+2πn, −2)

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ddx (2cos(x))

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

55+0=

Solution

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