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Popular >

y=2x^2+x-6

Solution

y = 2 x^{2} + x - 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{49}{8}

X Intercepts : (\frac{3}{2}, 0), (- 2, 0), Y Intercepts : (0, - 6)

Vertex : Minimum (- \frac{1}{4}, - \frac{49}{8})

Inverse : \frac{- 1 + 8 x + 49}{4}, \frac{- 1 - 8 x + 49}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{49}{8}, \infty)

Solution steps

Domain of

2 x^{2} + x - 6 : - \infty < x < \infty

Range of

2 x^{2} + x - 6 : f (x) \geq - \frac{49}{8}

Axis interception points of

2 x^{2} + x - 6 :

X Intercepts

: (\frac{3}{2}, 0), (- 2, 0),

Y Intercepts

: (0, - 6)

Vertex of

2 x^{2} + x - 6 :

Minimum

(- \frac{1}{4}, - \frac{49}{8})

Inverse of

2 x^{2} + x - 6 : \frac{- 1 + 8 x + 49}{4}, \frac{- 1 - 8 x + 49}{4}

Popular Examples

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Frequently Asked Questions (FAQ)

What is the y=2x^2+x-6 ?
The y=2x^2+x-6 is