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Popular >

f(x)=3x^2-2x+1

Solution

f (x) = 3 x^{2} - 2 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{2}{3}

Y Intercepts : (0, 1)

Vertex : Minimum (\frac{1}{3}, \frac{2}{3})

Inverse : \frac{1 + 3 x - 2}{3}, \frac{1 - 3 x - 2}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{2}{3}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 1)

Vertex of

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

Minimum

(\frac{1}{3}, \frac{2}{3})

Inverse of

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

Popular Examples

inflection 17x^4-102x^2 inflection points

17 x^{4} - 102 x^{2}

domain of sqrt(-x+3)domain

- x + 3

slope of 9^{1/2}+4^{1/2}slope

9^{\frac{1}{2}} + 4^{\frac{1}{2}}

line y=-2x+5 line

y = - 2 x + 5

domain of f(x)=-(31)/((6+x)^2)domain

f (x) = - \frac{31}{( 6 + x ) ^{2}}

Frequently Asked Questions (FAQ)

What is the f(x)=3x^2-2x+1 ?
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