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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) \leq 3

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

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

Range of

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

Maximum

(- 2, 3),

Minimum

(0, - 1),

Maximum

(2, 3)

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Frequently Asked Questions (FAQ)

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