What is the f(x)=sqrt(x^2-1) ?

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f(x)=sqrt(x^2-1)

f (x) = x^{2} - 1

Domain : x \leq - 1 or x \geq 1

Range : f (x) \geq 0

X Intercepts : (1, 0), (- 1, 0)

Asymptotes : Slant y = x, y = - x

Extreme Points : Minimum (- 1, 0), Minimum (1, 0)

Interval Notation

Domain : (- \infty, - 1] \cup [1, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - 1 : x \leq - 1 or x \geq 1

Range of

x^{2} - 1 : f (x) \geq 0

Axis interception points of

x^{2} - 1 :

X Intercepts

: (1, 0), (- 1, 0)

Asymptotes of

x^{2} - 1 :

Slant

: y = x, y = - x

Extreme Points of

x^{2} - 1 :

Minimum

(- 1, 0),

Minimum

(1, 0)

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