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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{5}{4}

X Intercepts : (\frac{3 + 5}{2}, 0), (\frac{3 - 5}{2}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (\frac{3}{2}, - \frac{5}{4})

Inverse : \frac{3 + 4 x + 5}{2}, \frac{3 - 4 x + 5}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{5}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} - 3 x + 1 : f (x) \geq - \frac{5}{4}

Axis interception points of

x^{2} - 3 x + 1 :

X Intercepts

: (\frac{3 + 5}{2}, 0), (\frac{3 - 5}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

x^{2} - 3 x + 1 :

Minimum

(\frac{3}{2}, - \frac{5}{4})

Inverse of

x^{2} - 3 x + 1 : \frac{3 + 4 x + 5}{2}, \frac{3 - 4 x + 5}{2}

Popular Examples

domain of f(x)=sqrt((2x^2-6x-20))domain

f (x) = (2 x^{2} - 6 x - 20)

domain of f(x)=sqrt((x-4))domain

f (x) = (x - 4)

inverse of f(x)=log_{6}(x^2)inverse

f (x) = lo g_{6} (x^{2})

inverse of f(x)=\sqrt[3]{x+2}-3 inverse

extreme f(x)=9+3x^2-2x^3 extreme points

f (x) = 9 + 3 x^{2} - 2 x^{3}

Frequently Asked Questions (FAQ)

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