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Popular >

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

Solution

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

Solution

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)

+1

Interval Notation

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

Range : [0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

(x^{2} - 1)^{\frac{1}{2}} :

X Intercepts

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

Asymptotes of

(x^{2} - 1)^{\frac{1}{2}} :

Slant

: y = x, y = - x

Extreme Points of

(x^{2} - 1)^{\frac{1}{2}} :

Minimum

(- 1, 0),

Minimum

(1, 0)

Popular Examples

f(x)=sqrt(-x+9)

f (x) = - x + 9

f (t) = t \cdot sin (t)

f (x) = x^{2} - ∣ x ∣

f(x)=2x^3+x^2-5x+2

f (x) = 2 x^{3} + x^{2} - 5 x + 2

y=-16x^2+146x+137

y = - 16 x^{2} + 146 x + 137

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-1)^{1/2} ?
The f(x)=(x^2-1)^{1/2} is