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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

simplify solve for inverse tangent line

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y=3cos(x)

Solution

Period: 2π

Domain: −∞ <x<∞

Range: −3≤ f(x)≤ 3

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

Asymptotes: None

Extreme Points: Maximum(2πn, 3), Minimum(π+2πn, −3)

Interval Notation

Domain: (−∞ , ∞ )

Range: [−3, 3]

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Solution steps

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Periodicity of 3cos(x): 2π

Domain of 3cos(x) : −∞ <x<∞

Range of 3cos(x): −3≤ f(x)≤ 3

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

Asymptotes of 3cos(x): None

Extreme Points of 3cos(x): Maximum(2πn, 3), Minimum(π+2πn, −3)

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ddx (3cos(x))

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

24+28

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