2sin5x

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f(x)=2cos(3x)

Solution

Period: 2π3

Domain: −∞ <x<∞

Range: −2≤ f(x)≤ 2

X Intercepts: (π6 +2πn3 , 0), (π2 +2πn3 , 0), Y Intercepts: (0, 2cos(3· 0))

Asymptotes: None

Extreme Points: Maximum(2π3 n, 2), Minimum(π3 +2π3 n, −2)

Interval Notation

Domain: (−∞ , ∞ )

Range: [−2, 2]

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Periodicity of 2cos(3x): 2π3

Domain of 2cos(3x) : −∞ <x<∞

Range of 2cos(3x): −2≤ f(x)≤ 2

Axis interception points of 2cos(3x): X Intercepts: (π6 +2πn3 , 0), (π2 +2πn3 , 0), Y Intercepts: (0, 2cos(3· 0))

Asymptotes of 2cos(3x): None

Extreme Points of 2cos(3x): Maximum(2π3 n, 2), Minimum(π3 +2π3 n, −2)

Solve instead

ddx (2cos(3x))

∫ 2cos(3x)dx

2cos³(x)

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

2sin5x

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