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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{7}{4}

Y Intercepts : (0, 2)

Vertex : Minimum (\frac{1}{2}, \frac{7}{4})

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{7}{4}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} - x + 2 :

Y Intercepts

: (0, 2)

Vertex of

x^{2} - x + 2 :

Minimum

(\frac{1}{2}, \frac{7}{4})

Inverse of

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

Popular Examples

inverse of f(x)=2log_{4}(x-5)+1 inverse

f (x) = 2 lo g_{4} (x - 5) + 1

domain of f(x)=(x-8)/(x^2-17x+72)domain

f (x) = \frac{x - 8}{x ^{2} - 17 x + 72}

inverse of f(x)=50e^{0.1x}inverse

f (x) = 50 e^{0.1 x}

domain of (x-1)/(x^2-x-6)domain

\frac{x - 1}{x ^{2} - x - 6}

asymptotes of 2^{x-4}asymptotes

2^{x - 4}

Frequently Asked Questions (FAQ)

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