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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1

Y Intercepts : (0, 5)

Vertex : Minimum (2, 1)

Inverse : 2 + x - 1, 2 - x - 1

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} - 4 x + 5 :

Y Intercepts

: (0, 5)

Vertex of

x^{2} - 4 x + 5 :

Minimum

(2, 1)

Inverse of

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

Graph

Popular Examples

domain of f(x)=(-4.1)(-4.5)

asymptotes of f(x)=log_{4}(x+1)

domain of f(x)=(x^2)/(x-2)

intercepts of f(x)=(x^2-x-20)/(x^2-36)

asymptotes of 5

Frequently Asked Questions (FAQ)

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