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Popular >

y=6x^2+x-12

Solution

y = 6 x^{2} + x - 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{289}{24}

X Intercepts : (\frac{4}{3}, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, - 12)

Vertex : Minimum (- \frac{1}{12}, - \frac{289}{24})

Inverse : \frac{- 1 + 24 x + 289}{12}, \frac{- 1 - 24 x + 289}{12}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{289}{24}, \infty)

Solution steps

Domain of

6 x^{2} + x - 12 : - \infty < x < \infty

Range of

6 x^{2} + x - 12 : f (x) \geq - \frac{289}{24}

Axis interception points of

6 x^{2} + x - 12 :

X Intercepts

: (\frac{4}{3}, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, - 12)

Vertex of

6 x^{2} + x - 12 :

Minimum

(- \frac{1}{12}, - \frac{289}{24})

Inverse of

6 x^{2} + x - 12 : \frac{- 1 + 24 x + 289}{12}, \frac{- 1 - 24 x + 289}{12}

Popular Examples

(x - 2) = (y + 1)^{2}

x^{2} - 4 x - 4 y - 4 = 0

(x - 2)^{2} = 2 (y + 2)

y = 3 x^{2} - 2 + 26

y^{2} = - 6 (x - 3)

Frequently Asked Questions (FAQ)

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