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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 8

X Intercepts : (2 (1 + 2), 0), (- 2 (1 + 2), 0), Y Intercepts : (0, - 4)

Asymptotes : None

Extreme Points : Minimum (- 2, - 8), Maximum (0, - 4), Minimum (2, - 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8, \infty)

Solution steps

Domain of

x^{4} - 4 x^{2} - 4 : - \infty < x < \infty

Range of

x^{4} - 4 x^{2} - 4 : f (x) \geq - 8

Axis interception points of

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

X Intercepts

: (2 (1 + 2), 0), (- 2 (1 + 2), 0),

Y Intercepts

: (0, - 4)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, - 8),

Maximum

(0, - 4),

Minimum

(2, - 8)

Popular Examples

f (x) = \frac{x - 4}{4}

f (x) = 4 x^{2} + x - 8

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

f(x)=sqrt(xsin(x))

f (x) = x sin (x)

f(t)= 2/(sqrt(t))+6/(\sqrt[3]{t)}

Frequently Asked Questions (FAQ)

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