tan(7x)

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f(x)=tan(7x)

Solution

Period: π7

Domain: π7 n≤ x<π14 +π7 n or π14 +π7 n<x<π7 +π7 n

Range: −∞ <f(x)<∞

X Intercepts: (πn7 , 0), Y Intercepts: (0, 0)

Asymptotes: Vertical x=π14 +π7 n

Extreme Points: None

Interval Notation

Domain: [π7 n, π14 +π7 n)∪(π14 +π7 n, π7 +π7 n)

Range: (−∞ , ∞ )

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Periodicity of tan(7x): π7

Domain of tan(7x) : π7 n≤ x<π14 +π7 n or π14 +π7 n<x<π7 +π7 n

Range of tan(7x): −∞ <f(x)<∞

Axis interception points of tan(7x): X Intercepts: (πn7 , 0), Y Intercepts: (0, 0)

Asymptotes of tan(7x): Vertical: x=π14 +π7 n

Extreme Points of tan(7x): None

Solve instead

ddx (tan(7x))

∫ tan(7x)dx

amplitude tan(7x)

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

tan(7x)

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