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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{3}{4}

Y Intercepts : (0, 1)

Vertex : Minimum (\frac{1}{2}, \frac{3}{4})

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{3}{4}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} - x + 1 :

Y Intercepts

: (0, 1)

Vertex of

x^{2} - x + 1 :

Minimum

(\frac{1}{2}, \frac{3}{4})

Inverse of

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

Popular Examples

domain of sqrt(x-5)domain

x - 5

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2 ln (x - 1)

range of cos(3x)range

cos (3 x)

inverse of f(x)=2(x-1)^3 inverse

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

range of sqrt(2-4x)-3 range

2 - 4 x - 3

Frequently Asked Questions (FAQ)

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