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Popular Functions >

f(x)=sqrt(x^2-4)

Solution

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

Solution

Domain : x \leq - 2 or x \geq 2

Range : f (x) \geq 0

X Intercepts : (2, 0), (- 2, 0)

Asymptotes : Slant y = x, y = - x

Extreme Points : Minimum (- 2, 0), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, - 2] \cup [2, \infty)

Solution steps

Domain of

x^{2} - 4 : x \leq - 2 or x \geq 2

Range of

x^{2} - 4 : f (x) \geq 0

Axis interception points of

x^{2} - 4 :

X Intercepts

: (2, 0), (- 2, 0)

Asymptotes of

x^{2} - 4 :

Slant

: y = x, y = - x

Extreme Points of

x^{2} - 4 :

Minimum

(- 2, 0),

Minimum

(2, 0)

Graph

Popular Examples

domain of f(x)= 1/(x^2-x-6)

inflection f(x)=xe^{-4pix}

inverse of f(x)=(3x)/(2x+1)

inverse of f(x)=((x+19))/(x-17)

asymptotes of f(x)= 2/((x-1)^3)

Frequently Asked Questions (FAQ)

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