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Popular Functions >

y=6x^2+3x-11

Solution

y = 6 x^{2} + 3 x - 11

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{91}{8}

X Intercepts : (\frac{- 3 + 273}{12}, 0), (\frac{- 3 - 273}{12}, 0), Y Intercepts : (0, - 11)

Vertex : Minimum (- \frac{1}{4}, - \frac{91}{8})

Inverse : \frac{- 3 + 24 x + 273}{12}, \frac{- 3 - 24 x + 273}{12}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{91}{8}, \infty)

Solution steps

Domain of

6 x^{2} + 3 x - 11 : - \infty < x < \infty

Range of

6 x^{2} + 3 x - 11 : f (x) \geq - \frac{91}{8}

Axis interception points of

6 x^{2} + 3 x - 11 :

X Intercepts

: (\frac{- 3 + 273}{12}, 0), (\frac{- 3 - 273}{12}, 0),

Y Intercepts

: (0, - 11)

Vertex of

6 x^{2} + 3 x - 11 :

Minimum

(- \frac{1}{4}, - \frac{91}{8})

Inverse of

6 x^{2} + 3 x - 11 : \frac{- 3 + 24 x + 273}{12}, \frac{- 3 - 24 x + 273}{12}

Graph

Popular Examples

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f(x)=(x^3-9x)+(45-5x^2)

Frequently Asked Questions (FAQ)

What is the y=6x^2+3x-11 ?
The y=6x^2+3x-11 is