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range of cos(x)-3

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

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range cos(x)−3

Solution

−4≤ f(x)≤ −2

Interval Notation

[−4, −2]

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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 cos function is −1≤ cos(x)≤ 1

−1≤ cos(x)≤ 1

Add to the edges of the range: −3

−4≤ cos(x)−3≤ −2

Therefore the range is

−4≤ f(x)≤ −2

Solve instead

domain cos(x)−3

periodicity cos(x)−3

amplitude cos(x)−3

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

range of cos(x)-3

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