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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 2

Y Intercepts : (0, 5)

Asymptotes : Slant y = x - 1, y = - x + 1

Extreme Points : Minimum (1, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} - 2 x + 5 :

Y Intercepts

: (0, 5)

Asymptotes of

x^{2} - 2 x + 5 :

Slant

: y = x - 1, y = - x + 1

Extreme Points of

x^{2} - 2 x + 5 :

Minimum

(1, 2)

Popular Examples

f(x)=(2x)/(x^2+9)

f (x) = \frac{2 x}{x ^{2} + 9}

g (x) = x^{2} + 3 x - 4

f (q) = q^{2} + 8 q - 7

y = x^{2} - 10 x + 125

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

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

Frequently Asked Questions (FAQ)

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