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Popular >

y=x^4-4x^2+1

Solution

y = x^{4} - 4 x^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

X Intercepts : (2 + 3, 0), (- 2 + 3, 0), (2 - 3, 0), (- 2 - 3, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- 2, - 3), Maximum (0, 1), Minimum (2, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

x^{4} - 4 x^{2} + 1 : - \infty < x < \infty

Range of

x^{4} - 4 x^{2} + 1 : f (x) \geq - 3

Axis interception points of

x^{4} - 4 x^{2} + 1 :

X Intercepts

: (2 + 3, 0), (- 2 + 3, 0), (2 - 3, 0), (- 2 - 3, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{4} - 4 x^{2} + 1 :

None

Extreme Points of

x^{4} - 4 x^{2} + 1 :

Minimum

(- 2, - 3),

Maximum

(0, 1),

Minimum

(2, - 3)

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Frequently Asked Questions (FAQ)

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