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range of cos(x)+sin(x)

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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range cos(x)+sin(x)

Solution

−√2≤ f(x)≤√2

Interval Notation

[−√2, √2]

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Function range definition

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

Find the minimum and maximum value in each defined interval and unite the results

Domain of cos(x)+sin(x) : −∞ <x<∞

Extreme Points of cos(x)+sin(x): Maximum(π4 +2πn, √2), Minimum(5π4 +2πn, −√2)

Find the range for the interval −∞ <x<∞ : −√2≤ f(x)≤ √2

Combine the ranges of all domain intervals to obtain the function range

−√2≤ f(x)≤ √2

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domain cos(x)+sin(x)

periodicity cos(x)+sin(x)

intercepts cos(x)+sin(x)

Factor Difference of Cubes Examples

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+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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range of cos(x)+sin(x)

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