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domain of 2cos^2(x)

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

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

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range 2cos(2x−1)+4

Solution

2≤ f(x)≤ 6

Interval Notation

[2, 6]

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Solution steps

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הגדרת טווח הפונקציה

קבוצת הערכים של המשתנה התלוי, עבורם הפונקציה מוגדרת

−1≤ cos(2x−1)≤ 1 היא cos התמונה של הפונקציה

−1≤ cos(2x−1)≤ 1

2 הכפל את קצוות התמונה ב

−2≤ 2cos(2x−1)≤ 2

4 הוסף לקצוות התמונה את

2≤ 2cos(2x−1)+4≤ 6

לכן התמונה היא

2≤ f(x)≤ 6

Solve instead

domain 2cos(2x−1)+4

periodicity 2cos(2x−1)+4

amplitude 2cos(2x−1)+4

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

domain of 2cos^2(x)

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