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end behavior y=(x^2+x+1)/x

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end behavior y=x²+x+1x

Solution

as x→ +∞ , y→ +∞ , and as x→ −∞ , y→ −∞

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Function end behavior definition

The end behavior of a function f(x) describes the behavior of the function as x approaches +∞ and as x approaches −∞

Domain of x²+x+1x : x<0 or x>0

lim_{x→ ∞}(x²+x+1x )=∞

as x→ +∞ , y→ +∞

lim_{x→ −∞}(x²+x+1x )=−∞

as x→ −∞ , y→ −∞

as x→ +∞ , y→ +∞ , and as x→ −∞ , y→ −∞

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domain x²+x+1x

range x²+x+1x

inverse x²+x+1x

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

end behavior y=(x^2+x+1)/x

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