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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 4

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, - 4),

Maximum

(0, 0),

Minimum

(2, - 4)

Graph

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Frequently Asked Questions (FAQ)

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