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Popular >

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)

Popular Examples

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

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

y= 1/(sec^2(x))+1/(csc^2(x))

y = \frac{1}{sec ^{2} ( x )} + \frac{1}{csc ^{2} ( x )}

f(x)=3x^3+x^2-12x-4

f (x) = 3 x^{3} + x^{2} - 12 x - 4

f (v) = v^{\frac{3}{8}}

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

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

Frequently Asked Questions (FAQ)

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