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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

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

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, - 1), Maximum (0, 0), Minimum (\frac{1}{2}, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

4 x^{4} - 4 x^{2} : f (x) \geq - 1

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{1}{2}, - 1),

Maximum

(0, 0),

Minimum

(\frac{1}{2}, - 1)

Graph

Popular Examples

f(x)=x^4-4x^3+3x^2+4x-4

f(z)=log_{3}(z)+log_{9}(z-2)

y=-30000x+150000

f(x)=sin(ln(x))dx

y=2x(1-x),0<= x<= 1

Frequently Asked Questions (FAQ)

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