f(x)=25-x^2

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f(x)=25−x²

Solution

Domain: −∞ <x<∞

Range: f(x)≤ 25

X Intercepts: (5, 0), (−5, 0), Y Intercepts: (0, 25)

Vertex: Maximum (0, 25)

Inverse: √−x+25, −√−x+25

Interval Notation

Domain: (−∞ , ∞ )

Range: (−∞ , 25]

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Domain of 25−x² : −∞ <x<∞

Range of 25−x²: f(x)≤ 25

Axis interception points of 25−x²: X Intercepts: (5, 0), (−5, 0), Y Intercepts: (0, 25)

Vertex of 25−x²: Maximum (0, 25)

Inverse of 25−x²: √−x+25, −√−x+25

Solve instead

ddx (25−x²)

parity 25−x²

symmetry 25−x²

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

f(x)=25-x^2

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