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periodicity of cos(2t)

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range 2sin(2x)+3

Solution

1≤ f(x)≤ 5

Interval Notation

[1, 5]

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Function range definition

The set of values of the dependent variable for which a function is defined

The range of the basic sin function is −1≤ sin(2x)≤ 1

−1≤ sin(2x)≤ 1

Multiply the edges of the range by: 2

−2≤ 2sin(2x)≤ 2

Add to the edges of the range: 3

1≤ 2sin(2x)+3≤ 5

Therefore the range is

1≤ f(x)≤ 5

Solve instead

domain 2sin(2x)+3

periodicity 2sin(2x)+3

amplitude 2sin(2x)+3

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

periodicity of cos(2t)

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