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Popular Functions >

f(x)=x^2-5x+4

Solution

f (x) = x^{2} - 5 x + 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{4}

X Intercepts : (4, 0), (1, 0), Y Intercepts : (0, 4)

Vertex : Minimum (\frac{5}{2}, - \frac{9}{4})

Inverse : \frac{5 + 4 x + 9}{2}, \frac{5 - 4 x + 9}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{4}, \infty)

Solution steps

Domain of

x^{2} - 5 x + 4 : - \infty < x < \infty

Range of

x^{2} - 5 x + 4 : f (x) \geq - \frac{9}{4}

Axis interception points of

x^{2} - 5 x + 4 :

X Intercepts

: (4, 0), (1, 0),

Y Intercepts

: (0, 4)

Vertex of

x^{2} - 5 x + 4 :

Minimum

(\frac{5}{2}, - \frac{9}{4})

Inverse of

x^{2} - 5 x + 4 : \frac{5 + 4 x + 9}{2}, \frac{5 - 4 x + 9}{2}

Graph

Popular Examples

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range of f(x)=2x^2-7x-4

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

Frequently Asked Questions (FAQ)

What is the f(x)=x^2-5x+4 ?
The f(x)=x^2-5x+4 is