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Popular Functions >

f(x)=3x^2-3x-2

Solution

f (x) = 3 x^{2} - 3 x - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{11}{4}

X Intercepts : (\frac{3 + 33}{6}, 0), (\frac{3 - 33}{6}, 0), Y Intercepts : (0, - 2)

Vertex : Minimum (\frac{1}{2}, - \frac{11}{4})

Inverse : \frac{3 + 12 x + 33}{6}, \frac{3 - 12 x + 33}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{11}{4}, \infty)

Solution steps

Domain of

3 x^{2} - 3 x - 2 : - \infty < x < \infty

Range of

3 x^{2} - 3 x - 2 : f (x) \geq - \frac{11}{4}

Axis interception points of

3 x^{2} - 3 x - 2 :

X Intercepts

: (\frac{3 + 33}{6}, 0), (\frac{3 - 33}{6}, 0),

Y Intercepts

: (0, - 2)

Vertex of

3 x^{2} - 3 x - 2 :

Minimum

(\frac{1}{2}, - \frac{11}{4})

Inverse of

3 x^{2} - 3 x - 2 : \frac{3 + 12 x + 33}{6}, \frac{3 - 12 x + 33}{6}

Graph

Popular Examples

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y=sqrt(coth(11x))

g(x)=sqrt(20x-5x^2)

Frequently Asked Questions (FAQ)

What is the f(x)=3x^2-3x-2 ?
The f(x)=3x^2-3x-2 is