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absolute extreme points of f(x)=sqrt(x+3)

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

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log_□

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ddx

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

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global extreme points f(x)=√x+3

Solution

Global Minimum(−3, 0)

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Global extreme points definition

f(x) has a global maximum at x₀ on the interval (a, b) if f(x₀) ≥ f(x) for all x in (a, b)
f(x) has a global minimum at x₀ on the interval (a, b) if f(x₀) ≤ f(x) for all x in (a, b)

Find the extreme points: Minimum(−3, 0)

Find the function range: [0, ∞ )

Verify extreme points are global points

Global Minimum(−3, 0)

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domain √x+3

range √x+3

inverse √x+3

Functions Absolute Extreme Points Examples

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

absolute extreme points of f(x)=sqrt(x+3)

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