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Popular Functions >

y=3x^2-4x-1

Solution

y = 3 x^{2} - 4 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{7}{3}

X Intercepts : (\frac{2 + 7}{3}, 0), (\frac{2 - 7}{3}, 0), Y Intercepts : (0, - 1)

Vertex : Minimum (\frac{2}{3}, - \frac{7}{3})

Inverse : \frac{2 + 3 x + 7}{3}, \frac{2 - 3 x + 7}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{7}{3}, \infty)

Solution steps

Domain of

3 x^{2} - 4 x - 1 : - \infty < x < \infty

Range of

3 x^{2} - 4 x - 1 : f (x) \geq - \frac{7}{3}

Axis interception points of

3 x^{2} - 4 x - 1 :

X Intercepts

: (\frac{2 + 7}{3}, 0), (\frac{2 - 7}{3}, 0),

Y Intercepts

: (0, - 1)

Vertex of

3 x^{2} - 4 x - 1 :

Minimum

(\frac{2}{3}, - \frac{7}{3})

Inverse of

3 x^{2} - 4 x - 1 : \frac{2 + 3 x + 7}{3}, \frac{2 - 3 x + 7}{3}

Graph

Popular Examples

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f(x)=(x-3)/2 ,0<= x<= 5

parity f(x)= 1/(3x^3-ln|x|+e^2)

y=(x^2+x)/(x+1)

f(x)=3x^{5/3}-2x^{2/3}

Frequently Asked Questions (FAQ)

What is the y=3x^2-4x-1 ?
The y=3x^2-4x-1 is