range of sin(3x)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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intervalo 2sin(2x)+3

Solution

1≤ f(x)≤ 5

Interval Notation

[1, 5]

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Solution steps

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Definição de imagem de função

O conjunto de valores da variável dependente para a qual uma função é definida

A imagem da função básica sin é −1≤ sin(2x)≤ 1

−1≤ sin(2x)≤ 1

Multiplicar as extremidades da imagem por: 2

−2≤ 2sin(2x)≤ 2

Somar às extremidades da imagem: 3

1≤ 2sin(2x)+3≤ 5

Portanto, a imagem é

1≤ f(x)≤ 5

Solve instead

domínio 2sin(2x)+3

periodicidade 2sin(2x)+3

amplitude 2sin(2x)+3

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

range of sin(3x)

Solution

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