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Popular >

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

Solution

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

Solution

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

Range : 0 < f (x) \leq 2

Intercepts : None

Asymptotes : Horizontal y = 0

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

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} - x^{4} - 4 :

None

Asymptotes of

x^{2} - x^{4} - 4 :

Horizontal

: y = 0

Extreme Points of

x^{2} - x^{4} - 4 :

Minimum

(- 2, 2),

Maximum

(2, 2)

Popular Examples

f(x)=-4x+100x-60

f (x) = - 4 x + 100 x - 60

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

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

f (x) = 10 \cdot x

k(x)=(1+sin(x))/n

k (x) = \frac{1 + sin ( x )}{n}

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

Frequently Asked Questions (FAQ)

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