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Popular Functions >

f(x)=3x^2+4x-4

Solution

f (x) = 3 x^{2} + 4 x - 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{16}{3}

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

Vertex : Minimum (- \frac{2}{3}, - \frac{16}{3})

Inverse : \frac{- 2 + 3 x + 16}{3}, - \frac{3 x + 16 + 2}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{16}{3}, \infty)

Solution steps

Domain of

3 x^{2} + 4 x - 4 : - \infty < x < \infty

Range of

3 x^{2} + 4 x - 4 : f (x) \geq - \frac{16}{3}

Axis interception points of

3 x^{2} + 4 x - 4 :

X Intercepts

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

Y Intercepts

: (0, - 4)

Vertex of

3 x^{2} + 4 x - 4 :

Minimum

(- \frac{2}{3}, - \frac{16}{3})

Inverse of

3 x^{2} + 4 x - 4 : \frac{- 2 + 3 x + 16}{3}, - \frac{3 x + 16 + 2}{3}

Graph

Popular Examples

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y=xcos(2x)-e^xsin(x)

Frequently Asked Questions (FAQ)

What is the f(x)=3x^2+4x-4 ?
The f(x)=3x^2+4x-4 is