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f(x)=(x²+2x−1)· (2x²−3x+6)

Solution

Domain: −∞ <x<∞

Range: f(x)≥ −26.25679…

X Intercepts: (−1+√2, 0), (−1−√2, 0), Y Intercepts: (0, −6)

Asymptotes: None

Extreme Points: Minimum(−1.51802…, −26.25679…)

Interval Notation

Domain: (−∞ , ∞ )

Range: [−26.25679…, ∞ )

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Domain of (x²+2x−1)· (2x²−3x+6) : −∞ <x<∞

Range of (x²+2x−1)· (2x²−3x+6): f(x)≥ −26.25679…

Axis interception points of (x²+2x−1)· (2x²−3x+6): X Intercepts: (−1+√2, 0), (−1−√2, 0), Y Intercepts: (0, −6)

Asymptotes of (x²+2x−1)· (2x²−3x+6): None

Extreme Points of (x²+2x−1)· (2x²−3x+6): Minimum(−1.51802…, −26.25679…)

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ddx ((x²+2x−1)· (2x²−3x+6))

parity (x²+2x−1)· (2x²−3x+6)

symmetry (x²+2x−1)· (2x²−3x+6)

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

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