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Popular >

f(x)=x^4-6x^2+4

Solution

f (x) = x^{4} - 6 x^{2} + 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (3 + 5, 0), (- 3 + 5, 0), (3 - 5, 0), (- 3 - 5, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (- 3, - 5), Maximum (0, 4), Minimum (3, - 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, \infty)

Solution steps

Domain of

x^{4} - 6 x^{2} + 4 : - \infty < x < \infty

Range of

x^{4} - 6 x^{2} + 4 : f (x) \geq - 5

Axis interception points of

x^{4} - 6 x^{2} + 4 :

X Intercepts

: (3 + 5, 0), (- 3 + 5, 0), (3 - 5, 0), (- 3 - 5, 0),

Y Intercepts

: (0, 4)

Asymptotes of

x^{4} - 6 x^{2} + 4 :

None

Extreme Points of

x^{4} - 6 x^{2} + 4 :

Minimum

(- 3, - 5),

Maximum

(0, 4),

Minimum

(3, - 5)

Popular Examples

f(x)=2x^3-9x^2-24x+1

f (x) = 2 x^{3} - 9 x^{2} - 24 x + 1

f (x) = ln (3 x + 2)

y = e^{m x}

y = - x^{2} + 6 x - 11

f (x) = 2 - 2 cos (x)

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-6x^2+4 ?
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