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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{32}{27}

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

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{3}, - \frac{32}{27}), Maximum (0, - 1), Minimum (\frac{1}{3}, - \frac{32}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Range of

(x^{4} - 1) (x^{2} + 1) : f (x) \geq - \frac{32}{27}

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{1}{3}, - \frac{32}{27}),

Maximum

(0, - 1),

Minimum

(\frac{1}{3}, - \frac{32}{27})

Graph

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Frequently Asked Questions (FAQ)

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