f(x)=2x^2-1+5x-6

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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f(x)=2x²−1+5x−6

Solution

Domain: −∞ <x<∞

Range: f(x)≥ −818

X Intercepts: (1, 0), (−72 , 0), Y Intercepts: (0, −7)

Vertex: Minimum (−54 , −818 )

Inverse: −5+√8x+814 , −5−√8x+814

Interval Notation

Domain: (−∞ , ∞ )

Range: [−818 , ∞ )

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Solution steps

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Domain of 2x²−1+5x−6 : −∞ <x<∞

Range of 2x²−1+5x−6: f(x)≥ −818

Axis interception points of 2x²−1+5x−6: X Intercepts: (1, 0), (−72 , 0), Y Intercepts: (0, −7)

Vertex of 2x²−1+5x−6: Minimum (−54 , −818 )

Inverse of 2x²−1+5x−6: −5+√8x+814 , −5−√8x+814

Solve instead

ddx (2x²−1+5x−6)

parity 2x²−1+5x−6

symmetry 2x²−1+5x−6

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