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Popular >

y=3x^2-2x+4

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{11}{3}

Y Intercepts : (0, 4)

Vertex : Minimum (\frac{1}{3}, \frac{11}{3})

Inverse : \frac{1 + 3 x - 11}{3}, \frac{1 - 3 x - 11}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{11}{3}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 4)

Vertex of

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

Minimum

(\frac{1}{3}, \frac{11}{3})

Inverse of

3 x^{2} - 2 x + 4 : \frac{1 + 3 x - 11}{3}, \frac{1 - 3 x - 11}{3}

Popular Examples

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

g (x) = x^{2} - 8 x + 12

periodicity of f(x)=sin^2(x)cos^3(x)periodicity

f (x) = sin^{2} (x) cos^{3} (x)

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

f (x) = x^{2} - 7 x - 18

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