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Popular >

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}

Popular Examples

domain of f(x)=((10x^2-3)^4)/((3x^3+8)^5)domain

f (x) = \frac{( 10 x ^{2} - 3 ) ^{4}}{( 3 x ^{3} + 8 ) ^{5}}

f(x)=-0.01x^2+0.7x+6.1

f (x) = - 0.01 x^{2} + 0.7 x + 6.1

f(x)=(x^2+5x)/(-2x^2+7x)

f (x) = \frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x}

f (x) = - x^{2} + 8 x + 7

f(x)=-1/(ln(x))

f (x) = - \frac{1}{ln ( x )}

Frequently Asked Questions (FAQ)

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