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f(z)=((z-8)^2)/(z^2-64)

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f(z)=(z−8)²z²−64

Solution

Domain: z<−8 or −8<z<8 or z>8

Range: f(z)<0 or 0<f(z)<1 or f(z)>1

Y Intercepts: (0, −1)

Asymptotes: Vertical z=−8, Horizontal y=1

Extreme Points: None

Interval Notation

Domain: (−∞ , −8)∪(−8, 8)∪(8, ∞ )

Range: (−∞ , 0)∪(0, 1)∪(1, ∞ )

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Solution steps

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Domain of (z−8)²z²−64 : z<−8 or −8<z<8 or z>8

Range of (z−8)²z²−64 : f(z)<0 or 0<f(z)<1 or f(z)>1

Axis interception points of (z−8)²z²−64 : Y Intercepts: (0, −1)

Asymptotes of (z−8)²z²−64 : Vertical: z=−8, Horizontal: y=1

Extreme Points of (z−8)²z²−64 : None

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ddz ((z−8)²z²−64 )

inverse (z−8)²z²−64

parity (z−8)²z²−64

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

f(z)=((z-8)^2)/(z^2-64)

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