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monotone intervals f(x)=sqrt(x+3)

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

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monotone intervals f(x)=√x+3

Solution

Increasing:−3<x<∞

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Monotone intervals definition

If f ′(x)>0 then f(x) is increasing.
If f ′(x)<0 then f(x) is decreasing.

f ′(x)=12√x+3

Find intervals: Increasing:−3<x<∞

Increasing:−3<x<∞

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domain √x+3

range √x+3

inverse √x+3

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

monotone intervals f(x)=sqrt(x+3)

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