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Popular >

f(x)=sqrt(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)

Asymptotes : Slant y = x + 2, y = - x - 2

Extreme Points : Minimum (- 2, 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)

Asymptotes of

x^{2} + 4 x + 5 :

Slant

: y = x + 2, y = - x - 2

Extreme Points of

x^{2} + 4 x + 5 :

Minimum

(- 2, 1)

Popular Examples

f(x)=|sin(x/2)|

f (x) = sin (\frac{x}{2})

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

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

f(x)=8x^6+14x^3+5

f (x) = 8 x^{6} + 14 x^{3} + 5

domain of sqrt(25y^2-9y^2),y>0 domain

25 y^{2} - 9 y^{2}, y > 0

f(x)=(2x^2)/(x^4+1)

f (x) = \frac{2 x ^{2}}{x ^{4} + 1}

Frequently Asked Questions (FAQ)

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