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Functions Domain & Range Calculator - Free Online Calculator With Steps & Examples

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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Steps Examples

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domain 9−x²

Solution

−∞ <x<∞

Interval Notation

(−∞ , ∞ )

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Find vertex using polynomial form

Find vertex using parabola form

Find vertex using vertex form

Find vertex using averaging the zeros

One step at a time

y=−x²

Parabola equation in polynomial form

The vertex of an up-down facing parabola of the form y=ax²+bx+c is x_v=−b2a

The parabola parameters are:

a=−1, b=0, c=0

x_v=−b2a

x_v=−02(−1)

Vereinfache

x_v=0

Plug in x_v=0 to find the y_v value

y_v=0

Deshalb ist der Parabel Scheitelpunkt

(0, 0)

Wenn a<0, dann entspricht der Scheitpunkt dem Maximalwert
Wenn a>0, dann entspricht der Scheitelpunkt dem Minimalwert
a=−1

Maximum (0, 0)

Solve instead

range 9−x²

vertices 9−x²

inverse 9−x²

Functions Domain & Range Examples

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

Functions Domain & Range Calculator - Free Online Calculator With Steps & Examples

Solution

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−4	−17
2	2